Question 1

Find the identical expression for the following.  ​

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 2

Use your graphing calculator to determine if the equation appears to be an identity or not by graphing the left expression and right expression together.  ​

Accepted Answer

A) not an identity 
B) is an identity

Question 3

Write the expression as a single trigonometric function.  ​

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 4

Use your graphing calculator to determine if the equation appears to be an identity by graphing the left expression and right expression together.  ​

Accepted Answer

A) This is an identity 
B) This is not an identity

Question 5

Use your graphing calculator to determine if the equation appears to be an identity or not by graphing the left expression and right expression together.    ​

Accepted Answer

A) not an identity 
B) is an identity

Question 6

Use your graphing calculator to determine if the equation appears to be an identity by graphing the left expression and right expression together. If so, then prove the identity.

Accepted Answer

The answer of Use your graphing calculator to determine if...

Question 7

If    with A  in QIV , find  ​

Accepted Answer

A)   
B) ​  
C) ​  
D) ​  
E) ​

Question 8

If  , find  . ​

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 9

If    with A  in QIII, and   with   B  in QI, find ​

Accepted Answer

The answer of If    with A  in QIII, and...

Question 10

If  and   , find  .  __________

Accepted Answer

The answer of If  and   , find ...

Question 11

If   with B  in QII, find  ​

Accepted Answer

A)   
B) ​  
C) ​  
D) ​  
E) ​

Question 12

Write a formula for  by writing   as  and using the formula for the sine of a sum. ​

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 13

If    with A  in QIV, find

Accepted Answer

The answer of If    with A  in QIV, find...

Question 14

Prove the identity.

Accepted Answer

The answer of Prove the identity. ...

Question 15

If    with A  in QIV, find  ​

Accepted Answer

A)   
B) ​  
C) ​  
D) ​  
E) ​

Question 16

Prove the identity.

Accepted Answer

The answer of Prove the identity. ...

Question 17

If   with A  in QII, and   with   B  in QIV, find ​  ​

Accepted Answer

A)   
B) ​  
C) ​  
D) ​  
E) ​

Question 18

Use half-angle formulas to find the exact value for the following: 
tan 105°

Accepted Answer

The answer of Use half-angle formulas to find the exact...

Question 19

Simplify the expression.

Accepted Answer

The answer of Simplify the expression. ...

Question 20

If    with B  in QII, find ​

Accepted Answer

The answer of If    with B  in QII, find...

Exam 5: Identities and Formulas

Find the identical expression for the following. ​

Use your graphing calculator to determine if the equation appears to be an identity or not by graphing the left expression and right expression together. ​

Write the expression as a single trigonometric function. ​

Use your graphing calculator to determine if the equation appears to be an identity by graphing the left expression and right expression together. ​

Use your graphing calculator to determine if the equation appears to be an identity or not by graphing the left expression and right expression together. ​

Use your graphing calculator to determine if the equation appears to be an identity by graphing the left expression and right expression together. If so, then prove the identity.

If with A in QIV , find ​

If , find . ​

If with A in QIII, and with B in QI, find ​

If and , find . __________

If with B in QII, find ​

Write a formula for by writing as and using the formula for the sine of a sum. ​

If with A in QIV, find

Prove the identity.

If with A in QIV, find ​

Prove the identity.

If with A in QII, and with B in QIV, find ​ ​

Use half-angle formulas to find the exact value for the following: tan 105°

Simplify the expression.

If with B in QII, find ​

Find the identical expression for the following.

Use your graphing calculator to determine if the equation appears to be an identity or not by graphing the left expression and right expression together.

Write the expression as a single trigonometric function.

Use your graphing calculator to determine if the equation appears to be an identity by graphing the left expression and right expression together.

Use your graphing calculator to determine if the equation appears to be an identity or not by graphing the left expression and right expression together.

If with A in QIV , find

If , find .

If with A in QIII, and with B in QI, find

If with B in QII, find

Write a formula for by writing as and using the formula for the sine of a sum.

If with A in QIV, find

If with A in QII, and with B in QIV, find

If with B in QII, find