Question 1

Use a calculator to find the approximate value of the expression rounded to two decimal places.
-$\cot 0.1811$

Accepted Answer

A)  0.98 
B)  5.46 
C)  1.02 
D)  0.18 
A)  0.98 
B)  5.46 
C)  1.02 
D)  0.18

Question 2

Match the given function to its graph.
-1) $y = 1 + \sin x$
2) $y = 1 + \cos x$
3) $y = - 1 + \sin x$
4) $y = - 1 + \cos x$

Accepted Answer

A)  $1 \mathrm {~A} , 2 \mathrm { C } , 3 \mathrm { D } , 4 \mathrm {~B}$ 
B)  $1 \mathrm {~A} , 2 \mathrm { D } , 3 \mathrm { C } , 4 \mathrm {~B}$ 
C)  $1 \mathrm {~A} , 2 \mathrm {~B} , 3 \mathrm { C } , 4 \mathrm { D }$ 
D)  $1 \mathrm {~B} , 2 \mathrm { D } , 3 \mathrm { C } , 4 \mathrm {~A}$ 
A)  $1 \mathrm {~A} , 2 \mathrm { C } , 3 \mathrm { D } , 4 \mathrm {~B}$ 
B)  $1 \mathrm {~A} , 2 \mathrm { D } , 3 \mathrm { C } , 4 \mathrm {~B}$ 
C)  $1 \mathrm {~A} , 2 \mathrm {~B} , 3 \mathrm { C } , 4 \mathrm { D }$ 
D)  $1 \mathrm {~B} , 2 \mathrm { D } , 3 \mathrm { C } , 4 \mathrm {~A}$

Question 3

In the problem, t is a real number and P = (x, y) is the point on the unit circle that corresponds to t. Find the exact value of
the indicated trigonometric function of t.
-$\left( \frac { 1 } { 5 } , - \frac { 2 \sqrt { 6 } } { 5 } \right) \quad$ Find csct.

Accepted Answer

A)  $\frac { 1 } { 5 }$ 
B)  $- \frac { \sqrt { 6 } } { 2 }$ 
C)  $\frac { 5 } { 1 }$ 
D)  $- \frac { 5 \sqrt { 6 } } { 12 }$ 
A)  $\frac { 1 } { 5 }$ 
B)  $- \frac { \sqrt { 6 } } { 2 }$ 
C)  $\frac { 5 } { 1 }$ 
D)  $- \frac { 5 \sqrt { 6 } } { 12 }$

Question 4

Graph the function. Show at least one period.
-$y=2 \sin (2 x-\pi)$
 
 A)

Accepted Answer

B) 
  
C) 
  
D) 
  
B) 
  
C) 
  
D)

Question 5

Use transformations to graph the function.
-$y=\sin (\pi x)$
 
 A)

Accepted Answer

B) 
  
C) 
  
D) 
  
B) 
  
C) 
  
D)

Question 6

In the problem, t is a real number and P = (x, y) is the point on the unit circle that corresponds to t. Find the exact value of
the indicated trigonometric function of t.
-$\left( \frac { 4 } { 7 } , - \frac { \sqrt { 33 } } { 7 } \right) \quad$ Find cos $t$

Accepted Answer

A)  $\frac { \sqrt { 33 } } { 7 }$ 
B)  $- \frac { \sqrt { 33 } } { 7 }$ 
C)  $- \frac { 4 } { 7 }$ 
D)  $\frac { 4 } { 7 }$ 
A)  $\frac { \sqrt { 33 } } { 7 }$ 
B)  $- \frac { \sqrt { 33 } } { 7 }$ 
C)  $- \frac { 4 } { 7 }$ 
D)  $\frac { 4 } { 7 }$

Use a calculator to find the approximate value of the expression rounded to two decimal places. - $\cot 0.1811$

Match the given function to its graph. -1) $y = 1 + \sin x$ 2) $y = 1 + \cos x$ 3) $y = - 1 + \sin x$ 4) $y = - 1 + \cos x$ $Match the given function to its graph. -1) y = 1 + \sin x 2) y = 1 + \cos x 3) y = - 1 + \sin x 4) y = - 1 + \cos x$

In the problem, t is a real number and P = (x, y) is the point on the unit circle that corresponds to t. Find the exact value of the indicated trigonometric function of t. - $\left( \frac { 1 } { 5 } , - \frac { 2 \sqrt { 6 } } { 5 } \right) \quad$ Find csct.

In the problem, t is a real number and P = (x, y) is the point on the unit circle that corresponds to t. Find the exact value of the indicated trigonometric function of t. - $\left( \frac { 4 } { 7 } , - \frac { \sqrt { 33 } } { 7 } \right) \quad$ Find cos $t$

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Exam 5: Trigonometric Functions

Use a calculator to find the approximate value of the expression rounded to two decimal places. - cot⁡0.1811\cot 0.1811cot0.1811

Match the given function to its graph. -1) y=1+sin⁡xy = 1 + \sin xy=1+sinx 2) y=1+cos⁡xy = 1 + \cos xy=1+cosx 3) y=−1+sin⁡xy = - 1 + \sin xy=−1+sinx 4) y=−1+cos⁡xy = - 1 + \cos xy=−1+cosx

In the problem, t is a real number and P = (x, y) is the point on the unit circle that corresponds to t. Find the exact value of the indicated trigonometric function of t. - (15,−265)\left( \frac { 1 } { 5 } , - \frac { 2 \sqrt { 6 } } { 5 } \right) \quad(51​,−526​​) Find csct.

Graph the function. Show at least one period. - y=2sin⁡(2x−π)y=2 \sin (2 x-\pi)y=2sin(2x−π) A) B) C) D)

Use transformations to graph the function. - y=sin⁡(πx)y=\sin (\pi x)y=sin(πx) A) B) C) D)

In the problem, t is a real number and P = (x, y) is the point on the unit circle that corresponds to t. Find the exact value of the indicated trigonometric function of t. - (47,−337)\left( \frac { 4 } { 7 } , - \frac { \sqrt { 33 } } { 7 } \right) \quad(74​,−733​​) Find cos ttt