Question 1

Find all solutions if   . Give your answers in radians using exact values only.

Accepted Answer

The answer of Find all solutions if   ....

Question 2

Eliminate the parameter t in the following:

Accepted Answer

The answer of Eliminate the parameter t in the following:...

Question 3

Use your graphing calculator to find the solutions to the equation to the nearest tenth of a degree in the interval    by defining the left side and right side of the equation as functions and then finding the intersection points of their graphs. Make sure your calculator is set to degree mode. sin  θ  - 4 = 6sin  θ
​

Accepted Answer

A) 233.4°, 306.6° 
B) 233.1°, 306.6° 
C) 233.7°, 306.3° 
D) 233.1°, 306.9° 
E) 233.4°, 306.9° 
A) 233.4°, 306.6° 
B) 233.1°, 306.6° 
C) 233.7°, 306.3° 
D) 233.1°, 306.9° 
E) 233.4°, 306.9°

Question 4

Solve the equation for x  if   . Give your answer in radians using exact values only.

Accepted Answer

The answer of Solve the equation for x  if ...

Question 5

Find the smallest positive value of t  for which   . ​

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 6

For the equation below, find all degree solutions in the interval   . Give your answer in degrees. If rounding is necessary, round to the nearest tenth of a degree. Use your graphing calculator to verify each solution graphically.

Accepted Answer

41.8°, 53.

Question 7

Use the quadratic formula to find all solutions in the interval    to the nearest tenth of a degree.

Accepted Answer

The answer of Use the quadratic formula to find all...

Question 8

Find all degree solutions for the equation    in the interval   . ​

Accepted Answer

A) 33.9°, 146.1°, 213.9°, 326.1° 
B) 34.1°, 145.9°, 214.1°, 325.9° 
C) 33.7°, 146.3° 
D) 33.9°, 146.1° 
E) 33.7°, 146.3°, 213.7°, 326.3° 
A) 33.9°, 146.1°, 213.9°, 326.1° 
B) 34.1°, 145.9°, 214.1°, 325.9° 
C) 33.7°, 146.3° 
D) 33.9°, 146.1° 
E) 33.7°, 146.3°, 213.7°, 326.3°

Question 9

Eliminate the parameter t in the following:

Accepted Answer

The answer of Eliminate the parameter t in the following:...

Question 10

Eliminate the parameter t from the following and then sketch the graph:   ​

Accepted Answer

A)      
B)      
C)      
D)      
E)      
A)      
B)      
C)      
D)      
E)

Question 11

Solve the equation for x  if   . cos x - cos 2 x = 0
​

Accepted Answer

A)    ,    ,    
B)    ,    ,    
C)    ,    ,    
D) 0,    ,    
E)    ,    ,    
A)    ,    ,    
B)    ,    ,    
C)    ,    ,    
D) 0,    ,    
E)    ,    ,

Question 12

Solve the equation for θ  if   . Give your answer in degrees.   ​

Accepted Answer

A) 240°, 300° 
B) 225°, 315° 
C) 120°, 240° 
D) 60°, 120° 
E) 45°, 135° 
A) 240°, 300° 
B) 225°, 315° 
C) 120°, 240° 
D) 60°, 120° 
E) 45°, 135°

Question 13

Eliminate the parameter t in the following:       ​

Accepted Answer

A)    ,    ,    
B)    ,    ,    
C)    ,    ,    
D)    ,    ,    
E)    ,    ,    
A)    ,    ,    
B)    ,    ,    
C)    ,    ,    
D)    ,    ,    
E)    ,    ,

Question 14

Find all solutions if   . Verify your answer graphically.   ​

Accepted Answer

A) 45°, 135 ° 
B) 15 ° , 75 ° , 195 ° , 255 ° , 280 ° 
C) 30 ° , 60 ° , 210 ° , 240 ° 
D) 15 ° , 75 ° , 195 ° , 255 ° 
E) 30 ° , 60 ° , 210 ° , 240 ° , 260 ° 
A) 45°, 135 ° 
B) 15 ° , 75 ° , 195 ° , 255 ° , 280 ° 
C) 30 ° , 60 ° , 210 ° , 240 ° 
D) 15 ° , 75 ° , 195 ° , 255 ° 
E) 30 ° , 60 ° , 210 ° , 240 ° , 260 °

Question 15

Use your graphing calculator to find all degree solutions in the interval    for the following equation. Give your answer in degrees.   θ = __________°

Accepted Answer

30, 90, 15

Question 16

Solve the equation for t  if   . Give the answer as an exact value in radians. Do not use a calculator.

Accepted Answer

The answer of Solve the equation for t  if ...

Question 17

Eliminate the parameter t from the following and then sketch the graph:       ​

Accepted Answer

A)      
B)      
C)      
D)      
E)      
A)      
B)      
C)      
D)      
E)

Question 18

If central angle θ  cuts off a chord of length c  in a circle of radius r , then the relationship between θ , c , and r  is given by     Find θ , if ​c ​ =  ​r ​

Accepted Answer

A) ​θ = 120° 
B) ​θ  = 90 ° 
C) ​θ  = 20 ° 
D) ​θ  = 180 ° 
E) ​θ  = 120 ° 
A) ​θ = 120° 
B) ​θ  = 90 ° 
C) ​θ  = 20 ° 
D) ​θ  = 180 ° 
E) ​θ  = 120 °

Question 19

Use your graphing calculator to find all radian solutions in the interval    for the following equation. Round your answers to four decimal places.

Accepted Answer

The answer of Use your graphing calculator to find all...

Question 20

If a projectile (such as a bullet)is fired into the air with an initial velocity v at an angle of elevation θ  (see the figure), then the height h of the projectile at time t is given by     Give the equation for the height, if v is 1,800 feet per second and θ  is 30°. (Leave your answer in exact value form.)

Accepted Answer

The answer of If a projectile (such as a bullet)is...

Find all solutions if . Give your answers in radians using exact values only.

Eliminate the parameter t in the following:

Solve the equation for x if . Give your answer in radians using exact values only.

Find the smallest positive value of t for which .

For the equation below, find all degree solutions in the interval . Give your answer in degrees. If rounding is necessary, round to the nearest tenth of a degree. Use your graphing calculator to verify each solution graphically.

Use the quadratic formula to find all solutions in the interval to the nearest tenth of a degree.

Find all degree solutions for the equation in the interval .

Eliminate the parameter t in the following:

Eliminate the parameter t from the following and then sketch the graph:

Solve the equation for x if . cos x - cos 2 x = 0

Solve the equation for θ if . Give your answer in degrees.

Eliminate the parameter t in the following:

Find all solutions if . Verify your answer graphically.

Use your graphing calculator to find all degree solutions in the interval for the following equation. Give your answer in degrees. θ = __________°

Solve the equation for t if . Give the answer as an exact value in radians. Do not use a calculator.

Eliminate the parameter t from the following and then sketch the graph:

If central angle θ cuts off a chord of length c in a circle of radius r , then the relationship between θ , c , and r is given by Find θ , if c = r

Use your graphing calculator to find all radian solutions in the interval for the following equation. Round your answers to four decimal places.

The Six Trigonometric Functions

Right Triangle Trigonometry

Radian Measure

Graphing and Inverse Functions

Identities and Formulas

Triangles

Complex Numbers and Polar Coordinates

Filters

Exam 6: Equations

Find all solutions if . Give your answers in radians using exact values only.

Eliminate the parameter t in the following:

Solve the equation for x if . Give your answer in radians using exact values only.

Find the smallest positive value of t for which . ​

For the equation below, find all degree solutions in the interval . Give your answer in degrees. If rounding is necessary, round to the nearest tenth of a degree. Use your graphing calculator to verify each solution graphically.

Use the quadratic formula to find all solutions in the interval to the nearest tenth of a degree.

Find all degree solutions for the equation in the interval . ​

Eliminate the parameter t in the following:

Eliminate the parameter t from the following and then sketch the graph: ​

Solve the equation for x if . cos x - cos 2 x = 0 ​

Solve the equation for θ if . Give your answer in degrees. ​

Eliminate the parameter t in the following: ​

Find all solutions if . Verify your answer graphically. ​

Use your graphing calculator to find all degree solutions in the interval for the following equation. Give your answer in degrees. θ = __________°

Solve the equation for t if . Give the answer as an exact value in radians. Do not use a calculator.

Eliminate the parameter t from the following and then sketch the graph: ​

If central angle θ cuts off a chord of length c in a circle of radius r , then the relationship between θ , c , and r is given by Find θ , if ​c ​ = ​r ​

Use your graphing calculator to find all radian solutions in the interval for the following equation. Round your answers to four decimal places.

The Six Trigonometric Functions

Right Triangle Trigonometry

Radian Measure

Graphing and Inverse Functions

Identities and Formulas

Triangles

Complex Numbers and Polar Coordinates

Filters

Find the smallest positive value of t for which .

Find all degree solutions for the equation in the interval .

Eliminate the parameter t from the following and then sketch the graph:

Solve the equation for x if . cos x - cos 2 x = 0

Solve the equation for θ if . Give your answer in degrees.

Eliminate the parameter t in the following:

Find all solutions if . Verify your answer graphically.

Eliminate the parameter t from the following and then sketch the graph:

If central angle θ cuts off a chord of length c in a circle of radius r , then the relationship between θ , c , and r is given by Find θ , if c = r