Question 1

Give the reciprocal of the given number. 
2x

Accepted Answer

The answer of Give the reciprocal of the given number....

Question 2

Give the reciprocal of the given number. 3x
​

Accepted Answer

A)   
B)   
C)   
D)   
E)    E

Question 3

Show that the following statement is true by transforming the left side into the right side.

Accepted Answer

We begin by writing everything on the left side in terms of sin  θ  and cos  θ .  Since we have succeeded in transforming the left side into the right side, we have shown that the statement   is an identity.

Question 4

Find x so the distance between  and  is

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 5

Write the following in terms of sin  θ  and cos  θ  and then simplify if possible.  ​

Accepted Answer

A)   
B)  ​ 
C)  ​ 
D)  ​ 
E)  ​

Question 6

Find   if   and θ  terminates in QII.

Accepted Answer

The answer of Find   if   and θ  terminates...

Question 7

Simplify the expression   as much as possible after substituting  for x .

Accepted Answer

The answer of Simplify the expression   as much as...

Question 8

Simplify the expression   as much as possible after substituting   for x . ​

Accepted Answer

A)  ​ 
B)  ​ 
C)  ​ 
D)  ​ 
E)  ​

Question 9

Suppose the angle formed by the line y = 4 x and the positive x -axis is θ . Find the tangent of θ .  ​

Accepted Answer

A)  ​ 
B)  4
C)  5
D)  -4
E)

Question 10

Simplify the expression   as much as possible after substituting  for x .

Accepted Answer

The answer of Simplify the expression   as much as...

Question 11

Write the following in terms of sin  θ  and cos  θ  and then simplify if possible.  ​

Accepted Answer

A)   
B)  ​ 
C)  ​ 
D)  ​ 
E)  ​

Question 12

Show that the following statement is true by transforming the left side into the right side.

Accepted Answer

The answer of Show that the following statement is true...

Question 13

Find the remaining sides of a 30° - 60° - 90° triangle if the side opposite 60° is 9.

Accepted Answer

The answer of Find the remaining sides of a 30° -...

Question 14

The figure shows a walkway with a handrail. Angle α  is the angle between the walkway and the horizontal, while angle  β  is the angle between the vertical posts of the handrail and the walkway. Assume that the vertical posts are perpendicular to the horizontal.  Find  α  if  β = 55°. α = __________°

Accepted Answer

The answer of The figure shows a walkway with a...

Question 15

Graph the ordered pair on a rectangular coordinate system:  ​

Accepted Answer

A)  ​  
B)  ​ 
C)  ​  
D)  ​  
E)  ​

Question 16

Write the following in terms of sin  θ  and cos  θ  and then simplify if possible.  ​

Accepted Answer

A)   
B)  ​ 
C)  ​ 
D)  ​ 
E)  ​

Question 17

Solve for x .  a = 2,

Accepted Answer

The answer of Solve for x .  a =...

Question 18

Write the following in terms of sin  θ  only. 
cos  θ

Accepted Answer

The answer of Write the following in terms of sin ...

Question 19

Write the following in terms of sin  θ  and cos  θ  and then simplify if possible.

Accepted Answer

The answer of Write the following in terms of sin ...

Question 20

Using your calculator and rounding your answers to the nearest hundredth, find the remaining trigonometric ratios of θ  if 
sec θ = -1.14 and  . 
sin θ = __________ 
cos  θ  =  __________ 
tan  θ  =  __________ 
cot  θ  =  __________ 
csc  θ  =  __________

Accepted Answer

The answer of Using your calculator and rounding your answers...

Exam 1: The Six Trigonometric Functions

Give the reciprocal of the given number. 2x

Give the reciprocal of the given number. 3x

Show that the following statement is true by transforming the left side into the right side.

Find x so the distance between and is

Write the following in terms of sin θ and cos θ and then simplify if possible.

Find if and θ terminates in QII.

Simplify the expression as much as possible after substituting for x .

Simplify the expression as much as possible after substituting for x .

Suppose the angle formed by the line y = 4 x and the positive x -axis is θ . Find the tangent of θ .

Simplify the expression as much as possible after substituting for x .

Write the following in terms of sin θ and cos θ and then simplify if possible.

Show that the following statement is true by transforming the left side into the right side.

Find the remaining sides of a 30° - 60° - 90° triangle if the side opposite 60° is 9.

Graph the ordered pair on a rectangular coordinate system:

Write the following in terms of sin θ and cos θ and then simplify if possible.

Solve for x . a = 2,

Write the following in terms of sin θ only. cos θ

Write the following in terms of sin θ and cos θ and then simplify if possible.

Using your calculator and rounding your answers to the nearest hundredth, find the remaining trigonometric ratios of θ if sec θ = -1.14 and . sin θ = cos θ = tan θ = cot θ = csc θ = __

Exam 1: The Six Trigonometric Functions

Give the reciprocal of the given number. 2x

Give the reciprocal of the given number. 3x ​

Show that the following statement is true by transforming the left side into the right side.

Find x so the distance between and is

Write the following in terms of sin θ and cos θ and then simplify if possible. ​

Find if and θ terminates in QII.

Simplify the expression as much as possible after substituting for x .

Simplify the expression as much as possible after substituting for x . ​

Suppose the angle formed by the line y = 4 x and the positive x -axis is θ . Find the tangent of θ . ​

Simplify the expression as much as possible after substituting for x .

Write the following in terms of sin θ and cos θ and then simplify if possible. ​

Show that the following statement is true by transforming the left side into the right side.

Find the remaining sides of a 30° - 60° - 90° triangle if the side opposite 60° is 9.

Graph the ordered pair on a rectangular coordinate system: ​

Write the following in terms of sin θ and cos θ and then simplify if possible. ​

Solve for x . a = 2,

Write the following in terms of sin θ only. cos θ

Write the following in terms of sin θ and cos θ and then simplify if possible.

Using your calculator and rounding your answers to the nearest hundredth, find the remaining trigonometric ratios of θ if sec θ = -1.14 and . sin θ = __________ cos θ = __________ tan θ = __________ cot θ = __________ csc θ = __________

Give the reciprocal of the given number. 3x

Write the following in terms of sin θ and cos θ and then simplify if possible.

Simplify the expression as much as possible after substituting for x .

Suppose the angle formed by the line y = 4 x and the positive x -axis is θ . Find the tangent of θ .

Write the following in terms of sin θ and cos θ and then simplify if possible.

Graph the ordered pair on a rectangular coordinate system:

Write the following in terms of sin θ and cos θ and then simplify if possible.

Using your calculator and rounding your answers to the nearest hundredth, find the remaining trigonometric ratios of θ if sec θ = -1.14 and . sin θ = cos θ = tan θ = cot θ = csc θ = __