Question 1

For the given rectangular equation, give its equivalent polar equation.
-$x - y = 4$

Accepted Answer

A)  $r = \frac { 4 } { \cos \theta + \sin \theta }$ 
B)  $r = \frac { 4 } { \sin \theta - \cos \theta }$ 
C)  $r = \frac { 4 } { \cos \theta - \sin \theta }$ 
D)  $r = \frac { 1 } { 4 \cos \theta - 4 \sin \theta }$ 
A)  $r = \frac { 4 } { \cos \theta + \sin \theta }$ 
B)  $r = \frac { 4 } { \sin \theta - \cos \theta }$ 
C)  $r = \frac { 4 } { \cos \theta - \sin \theta }$ 
D)  $r = \frac { 1 } { 4 \cos \theta - 4 \sin \theta }$

Question 2

Find the quotient and write in rectangular form. First convert the numerator and denominator to trigonometric form.
-$$\frac { 16 \left( \cos 240 ^ { \circ } + i \sin 240 ^ { \circ } \right) } { 4 \left( \cos 60 ^ { \circ } + i \sin 60 ^ { \circ } \right) }$$

Accepted Answer

A)  $- 4 - 4 i$ 
B)  $- 4 i$ 
C)  $- 4$ 
D)  $- 2 \sqrt { 3 } - 2 \mathrm { i }$ 
A)  $- 4 - 4 i$ 
B)  $- 4 i$ 
C)  $- 4$ 
D)  $- 2 \sqrt { 3 } - 2 \mathrm { i }$

Question 3

Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
-$$\text { State the formulas for the area of a triangle } \mathrm { ABC } \text { that were derived using the law of sines. }$$

Accepted Answer

The answer of Write the word or phrase that best...

Question 4

Write the vector in the form <a, b>. If necessary, round values to the nearest hundredth.
-

Accepted Answer

A)  $\langle - 26.35 , - 31.41 \rangle$ 
B)  $\langle - 31.41 , - 26.35 \rangle$ 
C)  $\langle - 0.64 , - 0.77 \rangle$ 
D)  $\langle - 0.77 , - 0.64 \rangle$ 
A)  $\langle - 26.35 , - 31.41 \rangle$ 
B)  $\langle - 31.41 , - 26.35 \rangle$ 
C)  $\langle - 0.64 , - 0.77 \rangle$ 
D)  $\langle - 0.77 , - 0.64 \rangle$

Question 5

Solve the problem.
-If $\mathbf { u } = \langle - 5,7 \rangle , \mathbf { v } = \langle 4,6 \rangle$, and $\mathbf { w } = \langle - 11,2 \rangle$, evaluate $\mathbf { u } \cdot ( \mathbf { v } + \mathbf { w } )$.

Accepted Answer

A)  81 
B)  99 
C)  91 
D)  72 
A)  81 
B)  99 
C)  91 
D)  72

Question 6

Find the given power. Write answer in rectangular form.
-$$( 2 - 2 \mathrm { i } ) ^ { 5 }$$

Accepted Answer

A)  $- 128 + 128 \mathrm { i }$ 
B)  $- 64 \sqrt { 2 } + 64 \sqrt { 2 } i$ 
C)  $- \sqrt { 2 } + \sqrt { 2 } \mathrm { i }$ 
D)  $- 64 + 64 i$ 
A)  $- 128 + 128 \mathrm { i }$ 
B)  $- 64 \sqrt { 2 } + 64 \sqrt { 2 } i$ 
C)  $- \sqrt { 2 } + \sqrt { 2 } \mathrm { i }$ 
D)  $- 64 + 64 i$

Question 7

Find the indicated angle or side. Give an exact answer.
-Find the measure of angle $\mathrm { A }$ in degrees.

Accepted Answer

A)  $30 ^ { \circ }$ 
B)  $60 ^ { \circ }$ 
C)  $120 ^ { \circ }$ 
D)  $45 ^ { \circ }$ 
A)  $30 ^ { \circ }$ 
B)  $60 ^ { \circ }$ 
C)  $120 ^ { \circ }$ 
D)  $45 ^ { \circ }$

Question 8

Give two parametric representations for the equation of the parabola.
-$$y = x ^ { 2 } - 8 x + 25$$

Accepted Answer

A)  $x = t , y = t ^ { 2 } + 8 t + 25$ for $t$ in $( - \infty , \infty ) ; x = t - 4 , y = t ^ { 2 } + 9$ for $t$ in $( - \infty , \infty )$ 
B)  $x = t , y = t ^ { 2 } - 8 t - 25$ for $t$ in $( - \infty , \infty ) ; x = t - 4 , y = t ^ { 2 } - 9$ for $t$ in $( - \infty , \infty )$ 
C)  $x = t , y = t ^ { 2 } + 8 t + 25$ for $t$ in $( - \infty , \infty ) ; x = t - 4 , y = t ^ { 2 } - 9$ for $t$ in $( - \infty , \infty )$ 
D)  $x = t , y = t ^ { 2 } - 8 t + 25$ for $t$ in $( - \infty , \infty ) ; x = t - 4 , y = t ^ { 2 } + 9$ for $t$ in $( - \infty , \infty )$ 
A)  $x = t , y = t ^ { 2 } + 8 t + 25$ for $t$ in $( - \infty , \infty ) ; x = t - 4 , y = t ^ { 2 } + 9$ for $t$ in $( - \infty , \infty )$ 
B)  $x = t , y = t ^ { 2 } - 8 t - 25$ for $t$ in $( - \infty , \infty ) ; x = t - 4 , y = t ^ { 2 } - 9$ for $t$ in $( - \infty , \infty )$ 
C)  $x = t , y = t ^ { 2 } + 8 t + 25$ for $t$ in $( - \infty , \infty ) ; x = t - 4 , y = t ^ { 2 } - 9$ for $t$ in $( - \infty , \infty )$ 
D)  $x = t , y = t ^ { 2 } - 8 t + 25$ for $t$ in $( - \infty , \infty ) ; x = t - 4 , y = t ^ { 2 } + 9$ for $t$ in $( - \infty , \infty )$

Question 9

Sketch the vectors u and w with angle θ between them and sketch the resultant.
-$$| \mathbf { u } | = 50 , | \mathbf { w } | = 12 , \theta = 35 ^ { \circ }$$

Accepted Answer

A) 
  
B) 
  
A) 
  
B)

Question 10

Write the vector in the form ai + bj.
-$\langle 5,3 \rangle$

Accepted Answer

A)  $3 \mathbf { i } - 5 \mathbf { j }$ 
B)  $5 \mathbf { i } + 3 \mathbf { j }$ 
C)  $- 5 \mathbf { i } + 3 \mathbf { j }$ 
D)  $3 \mathbf { i } + 5 \mathbf { j }$ 
A)  $3 \mathbf { i } - 5 \mathbf { j }$ 
B)  $5 \mathbf { i } + 3 \mathbf { j }$ 
C)  $- 5 \mathbf { i } + 3 \mathbf { j }$ 
D)  $3 \mathbf { i } + 5 \mathbf { j }$

Question 11

Determine the number of triangles ABC possible with the given parts.
-$$\mathrm { b } = 24 , \mathrm { c } = 26 , \mathrm {~B} = 49 ^ { \circ }$$

Accepted Answer

A)  3 
B)  0 
C)  2 
D)  1 
A)  3 
B)  0 
C)  2 
D)  1

Question 12

Solve the problem.
-A hot-air balloon is rising vertically $13 \mathrm { ft } / \mathrm { sec }$ while the wind is blowing horizontally at $6 \mathrm { ft } / \mathrm { sec }$. Find the angle that the balloon makes with the horizontal.

Accepted Answer

A)  $65.2 ^ { \circ }$ 
B)  $51.3 ^ { \circ }$ 
C)  $24.8 ^ { \circ }$ 
D)  $47.4 ^ { \circ }$ 
A)  $65.2 ^ { \circ }$ 
B)  $51.3 ^ { \circ }$ 
C)  $24.8 ^ { \circ }$ 
D)  $47.4 ^ { \circ }$

Question 13

Solve the problem.
-Starting at point A, a ship sails $50 \mathrm {~km}$ on a bearing of $243 ^ { \circ }$, then turns and sails $71 \mathrm {~km}$ on a bearing of $299 ^ { \circ }$. Find the distance of the ship from point A.

Accepted Answer

A)  $178 \mathrm {~km}$ 
B)  $121 \mathrm {~km}$ 
C)  $107 \mathrm {~km}$ 
D)  $57 \mathrm {~km}$ 
A)  $178 \mathrm {~km}$ 
B)  $121 \mathrm {~km}$ 
C)  $107 \mathrm {~km}$ 
D)  $57 \mathrm {~km}$

Question 14

Write the vector in the form <a, b>. If necessary, round values to the nearest hundredth.
-

Accepted Answer

A)  $\langle - 0.5 , - 0.87 \rangle$ 
B)  $\langle - 16 , - 27.72 \rangle$ 
C)  $\langle - 8 , - 13.86 \rangle$ 
D)  $\langle - 13.86 , - 8 \rangle$ 
A)  $\langle - 0.5 , - 0.87 \rangle$ 
B)  $\langle - 16 , - 27.72 \rangle$ 
C)  $\langle - 8 , - 13.86 \rangle$ 
D)  $\langle - 13.86 , - 8 \rangle$

Question 15

Solve the problem.
-Points A and B are on opposite sides of a lake. Point C is $99.6$ meters from A. The measure of angle $\mathrm { BAC }$ is $77 ^ { \circ } 50 ^ { \prime }$, and the measure of angle $\mathrm { ACB }$ is determined to be $33 ^ { \circ } 50 ^ { \prime }$. Find the distance between points $A$ and $B$ (to the nearest meter).

Accepted Answer

A)  $58 \mathrm {~m}$ 
B)  $30 \mathrm {~m}$ 
C)  $60 \mathrm {~m}$ 
D)  $28 \mathrm {~m}$ 
A)  $58 \mathrm {~m}$ 
B)  $30 \mathrm {~m}$ 
C)  $60 \mathrm {~m}$ 
D)  $28 \mathrm {~m}$

Question 16

Find all cube roots of the complex number. Leave answers in trigonometric form.
-$27 \left( \cos 339 ^ { \circ } + i \sin 339 ^ { \circ } \right)$

Accepted Answer

A)  $3 \operatorname { cis } 113 ^ { \circ } , 3 \operatorname { cis } 233 ^ { \circ } , 3 \operatorname { cis } 233 ^ { \circ }$ 
B)  $3 \operatorname { cis } 113 ^ { \circ } , 3 \operatorname { cis } 173 ^ { \circ } , 3$ cis $53 ^ { \circ }$ 
C)  $3 \operatorname { cis } 203 ^ { \circ } , 3 \operatorname { cis } 263 ^ { \circ } , 3 \operatorname { cis } 143 ^ { \circ }$ 
D)  $3 \operatorname { cis } 113 ^ { \circ } , 3 \operatorname { cis } 233 ^ { \circ } , 3 \operatorname { cis } 353 ^ { \circ }$ 
A)  $3 \operatorname { cis } 113 ^ { \circ } , 3 \operatorname { cis } 233 ^ { \circ } , 3 \operatorname { cis } 233 ^ { \circ }$ 
B)  $3 \operatorname { cis } 113 ^ { \circ } , 3 \operatorname { cis } 173 ^ { \circ } , 3$ cis $53 ^ { \circ }$ 
C)  $3 \operatorname { cis } 203 ^ { \circ } , 3 \operatorname { cis } 263 ^ { \circ } , 3 \operatorname { cis } 143 ^ { \circ }$ 
D)  $3 \operatorname { cis } 113 ^ { \circ } , 3 \operatorname { cis } 233 ^ { \circ } , 3 \operatorname { cis } 353 ^ { \circ }$

Question 17

Find all specified roots.
-Fifth roots of $\mathrm { i }$.

Accepted Answer

A)  $\operatorname { cis } \frac { \pi } { 5 } , \operatorname { cis } \frac { 3 \pi } { 5 } , - 1 , \operatorname { cis } \frac { 7 \pi } { 10 } , \operatorname { cis } \frac { 9 \pi } { 10 }$ 
B)  $\operatorname { cis } \frac { \pi } { 10 } , i , \operatorname { cis } \frac { 9 \pi } { 10 } , \operatorname { cis } \frac { 13 \pi } { 10 } , \operatorname { cis } \frac { 17 \pi } { 10 }$ 
C)  $\operatorname { cis } \frac { \pi } { 10 } , \operatorname { cis } \frac { 7 \pi } { 10 } , \operatorname { cis } \frac { 9 \pi } { 10 } , \operatorname { cis } \frac { 13 \pi } { 10 } , \operatorname { cis } \frac { 17 \pi } { 10 }$ 
D)  $\operatorname { cis } \frac { 2 \pi } { 5 } , \operatorname { cis } \frac { 4 \pi } { 5 } , \operatorname { cis } \frac { 6 \pi } { 5 } , \operatorname { cis } \frac { 8 \pi } { 10 } , 1$ 
A)  $\operatorname { cis } \frac { \pi } { 5 } , \operatorname { cis } \frac { 3 \pi } { 5 } , - 1 , \operatorname { cis } \frac { 7 \pi } { 10 } , \operatorname { cis } \frac { 9 \pi } { 10 }$ 
B)  $\operatorname { cis } \frac { \pi } { 10 } , i , \operatorname { cis } \frac { 9 \pi } { 10 } , \operatorname { cis } \frac { 13 \pi } { 10 } , \operatorname { cis } \frac { 17 \pi } { 10 }$ 
C)  $\operatorname { cis } \frac { \pi } { 10 } , \operatorname { cis } \frac { 7 \pi } { 10 } , \operatorname { cis } \frac { 9 \pi } { 10 } , \operatorname { cis } \frac { 13 \pi } { 10 } , \operatorname { cis } \frac { 17 \pi } { 10 }$ 
D)  $\operatorname { cis } \frac { 2 \pi } { 5 } , \operatorname { cis } \frac { 4 \pi } { 5 } , \operatorname { cis } \frac { 6 \pi } { 5 } , \operatorname { cis } \frac { 8 \pi } { 10 } , 1$

Question 18

Find all cube roots of the complex number. Leave answers in trigonometric form.
-$64 \operatorname { cis } 120 ^ { \circ }$

Accepted Answer

A)  $4 \left( - \frac { 1 } { 2 } + \frac { \sqrt { 3 } } { 2 } \mathrm { i } \right) , 4 \left( \frac { 1 } { 2 } \mathrm { i } - \frac { \sqrt { 3 } } { 2 } \right) , 4 \left( \frac { 1 } { 2 } + \frac { \sqrt { 3 } } { 2 } \mathrm { i } \right)$ 
B)  $4 ( .6428 + .7660 \mathrm { i } ) , 4 ( - .3420 + .9397 \mathrm { i } ) , 4 ( .9848 - .1736 \mathrm { i } )$ 
C)  $4 \left( \frac { \sqrt { 3 } } { 2 } + \frac { 1 } { 2 } \mathrm { i } \right) , 4 \left( - \frac { \sqrt { 3 } } { 2 } + \frac { 1 } { 2 } \mathrm { i } \right) , 4 \left( \frac { \sqrt { 3 } } { 2 } - \frac { 1 } { 2 } \mathrm { i } \right)$ 
D)  $4 ( .7660 + .6428 \mathrm { i } ) , 4 ( - .9397 + .3420 \mathrm { i } ) , 4 ( .1736 - .9848 \mathrm { i } )$ 
A)  $4 \left( - \frac { 1 } { 2 } + \frac { \sqrt { 3 } } { 2 } \mathrm { i } \right) , 4 \left( \frac { 1 } { 2 } \mathrm { i } - \frac { \sqrt { 3 } } { 2 } \right) , 4 \left( \frac { 1 } { 2 } + \frac { \sqrt { 3 } } { 2 } \mathrm { i } \right)$ 
B)  $4 ( .6428 + .7660 \mathrm { i } ) , 4 ( - .3420 + .9397 \mathrm { i } ) , 4 ( .9848 - .1736 \mathrm { i } )$ 
C)  $4 \left( \frac { \sqrt { 3 } } { 2 } + \frac { 1 } { 2 } \mathrm { i } \right) , 4 \left( - \frac { \sqrt { 3 } } { 2 } + \frac { 1 } { 2 } \mathrm { i } \right) , 4 \left( \frac { \sqrt { 3 } } { 2 } - \frac { 1 } { 2 } \mathrm { i } \right)$ 
D)  $4 ( .7660 + .6428 \mathrm { i } ) , 4 ( - .9397 + .3420 \mathrm { i } ) , 4 ( .1736 - .9848 \mathrm { i } )$

Question 19

Is the given number z in the Julia set?
-$$\mathrm { z } = - 0.8 \mathrm { i }$$

Accepted Answer

A)  Yes 
B)  No 
A)  Yes 
B)  No

Question 20

Determine whether there is sufficient information for solving a triangle, with the given combination of angles and sides,
by the law of sines.
-a, A, and C

Accepted Answer

A)  Yes 
B)  No 
A)  Yes 
B)  No

For the given rectangular equation, give its equivalent polar equation. - $x - y = 4$

Find the quotient and write in rectangular form. First convert the numerator and denominator to trigonometric form. - $\frac { 16 \left( \cos 240 ^ { \circ } + i \sin 240 ^ { \circ } \right) } { 4 \left( \cos 60 ^ { \circ } + i \sin 60 ^ { \circ } \right) }$

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. - $\text { State the formulas for the area of a triangle } \mathrm { ABC } \text { that were derived using the law of sines. }$

Write the vector in the form <a, b>. If necessary, round values to the nearest hundredth. -

Solve the problem. -If $\mathbf { u } = \langle - 5,7 \rangle , \mathbf { v } = \langle 4,6 \rangle$ , and $\mathbf { w } = \langle - 11,2 \rangle$ , evaluate $\mathbf { u } \cdot ( \mathbf { v } + \mathbf { w } )$ .

Find the given power. Write answer in rectangular form. - $( 2 - 2 \mathrm { i } ) ^ { 5 }$

Find the indicated angle or side. Give an exact answer. -Find the measure of angle $\mathrm { A }$ in degrees. $Find the indicated angle or side. Give an exact answer. -Find the measure of angle \mathrm { A } in degrees.$

Give two parametric representations for the equation of the parabola. - $y = x ^ { 2 } - 8 x + 25$

Sketch the vectors u and w with angle θ between them and sketch the resultant. - $| \mathbf { u } | = 50 , | \mathbf { w } | = 12 , \theta = 35 ^ { \circ }$

Write the vector in the form ai + bj. - $\langle 5,3 \rangle$

Determine the number of triangles ABC possible with the given parts. - $\mathrm { b } = 24 , \mathrm { c } = 26 , \mathrm {~B} = 49 ^ { \circ }$

Solve the problem. -A hot-air balloon is rising vertically $13 \mathrm { ft } / \mathrm { sec }$ while the wind is blowing horizontally at $6 \mathrm { ft } / \mathrm { sec }$ . Find the angle that the balloon makes with the horizontal.

Solve the problem. -Starting at point A, a ship sails $50 \mathrm {~km}$ on a bearing of $243 ^ { \circ }$ , then turns and sails $71 \mathrm {~km}$ on a bearing of $299 ^ { \circ }$ . Find the distance of the ship from point A.

Write the vector in the form <a, b>. If necessary, round values to the nearest hundredth. -

Find all cube roots of the complex number. Leave answers in trigonometric form. - $27 \left( \cos 339 ^ { \circ } + i \sin 339 ^ { \circ } \right)$

Find all specified roots. -Fifth roots of $\mathrm { i }$ .

Find all cube roots of the complex number. Leave answers in trigonometric form. - $64 \operatorname { cis } 120 ^ { \circ }$

Is the given number z in the Julia set? - $\mathrm { z } = - 0.8 \mathrm { i }$

Determine whether there is sufficient information for solving a triangle, with the given combination of angles and sides, by the law of sines. -a, A, and C

Equations and Inequalities

Graphs and Functions

Polynomial and Rational Functions

Inverse, Exponential, and Logarithmic Functions

Trigonometric Functions

The Circular Functions and Their Graphs

Trigonometric Identities and Equations

Systems and Matrices

Analytic Geometry

Further Topics in Algebra

Review of Basic Concepts

Filters

Exam 8: Applications of Trigonometry

For the given rectangular equation, give its equivalent polar equation. - x−y=4x - y = 4x−y=4

Write the vector in the form <a, b>. If necessary, round values to the nearest hundredth. -

Find the given power. Write answer in rectangular form. - (2−2i)5( 2 - 2 \mathrm { i } ) ^ { 5 }(2−2i)5

Find the indicated angle or side. Give an exact answer. -Find the measure of angle A\mathrm { A }A in degrees.

Give two parametric representations for the equation of the parabola. - y=x2−8x+25y = x ^ { 2 } - 8 x + 25y=x2−8x+25

Sketch the vectors u and w with angle θ between them and sketch the resultant. - ∣u∣=50,∣w∣=12,θ=35∘| \mathbf { u } | = 50 , | \mathbf { w } | = 12 , \theta = 35 ^ { \circ }∣u∣=50,∣w∣=12,θ=35∘

Write the vector in the form ai + bj. - ⟨5,3⟩\langle 5,3 \rangle⟨5,3⟩

Determine the number of triangles ABC possible with the given parts. - b=24,c=26, B=49∘\mathrm { b } = 24 , \mathrm { c } = 26 , \mathrm {~B} = 49 ^ { \circ }b=24,c=26, B=49∘

Solve the problem. -A hot-air balloon is rising vertically 13ft/sec13 \mathrm { ft } / \mathrm { sec }13ft/sec while the wind is blowing horizontally at 6ft/sec6 \mathrm { ft } / \mathrm { sec }6ft/sec . Find the angle that the balloon makes with the horizontal.

Solve the problem. -Starting at point A, a ship sails 50 km50 \mathrm {~km}50 km on a bearing of 243∘243 ^ { \circ }243∘ , then turns and sails 71 km71 \mathrm {~km}71 km on a bearing of 299∘299 ^ { \circ }299∘ . Find the distance of the ship from point A.

Write the vector in the form <a, b>. If necessary, round values to the nearest hundredth. -

Find all cube roots of the complex number. Leave answers in trigonometric form. - 27(cos⁡339∘+isin⁡339∘)27 \left( \cos 339 ^ { \circ } + i \sin 339 ^ { \circ } \right)27(cos339∘+isin339∘)

Find all specified roots. -Fifth roots of i\mathrm { i }i .

Find all cube roots of the complex number. Leave answers in trigonometric form. - 64cis⁡120∘64 \operatorname { cis } 120 ^ { \circ }64cis120∘

Is the given number z in the Julia set? - z=−0.8i\mathrm { z } = - 0.8 \mathrm { i }z=−0.8i

Determine whether there is sufficient information for solving a triangle, with the given combination of angles and sides, by the law of sines. -a, A, and C

Equations and Inequalities

Graphs and Functions

Polynomial and Rational Functions

Inverse, Exponential, and Logarithmic Functions

Trigonometric Functions

The Circular Functions and Their Graphs

Trigonometric Identities and Equations

Systems and Matrices

Analytic Geometry

Further Topics in Algebra

Review of Basic Concepts

Filters

For the given rectangular equation, give its equivalent polar equation. - $x - y = 4$

Find the given power. Write answer in rectangular form. - $( 2 - 2 \mathrm { i } ) ^ { 5 }$

Find the indicated angle or side. Give an exact answer. -Find the measure of angle $\mathrm { A }$ in degrees. $Find the indicated angle or side. Give an exact answer. -Find the measure of angle \mathrm { A } in degrees.$

Give two parametric representations for the equation of the parabola. - $y = x ^ { 2 } - 8 x + 25$

Sketch the vectors u and w with angle θ between them and sketch the resultant. - $| \mathbf { u } | = 50 , | \mathbf { w } | = 12 , \theta = 35 ^ { \circ }$

Write the vector in the form ai + bj. - $\langle 5,3 \rangle$

Determine the number of triangles ABC possible with the given parts. - $\mathrm { b } = 24 , \mathrm { c } = 26 , \mathrm {~B} = 49 ^ { \circ }$

Solve the problem. -A hot-air balloon is rising vertically $13 \mathrm { ft } / \mathrm { sec }$ while the wind is blowing horizontally at $6 \mathrm { ft } / \mathrm { sec }$ . Find the angle that the balloon makes with the horizontal.

Solve the problem. -Starting at point A, a ship sails $50 \mathrm {~km}$ on a bearing of $243 ^ { \circ }$ , then turns and sails $71 \mathrm {~km}$ on a bearing of $299 ^ { \circ }$ . Find the distance of the ship from point A.

Find all cube roots of the complex number. Leave answers in trigonometric form. - $27 \left( \cos 339 ^ { \circ } + i \sin 339 ^ { \circ } \right)$

Find all specified roots. -Fifth roots of $\mathrm { i }$ .

Find all cube roots of the complex number. Leave answers in trigonometric form. - $64 \operatorname { cis } 120 ^ { \circ }$

Is the given number z in the Julia set? - $\mathrm { z } = - 0.8 \mathrm { i }$