# Worksheet: Related and Correlated Angle Identities

In this worksheet, we will practice writing trigonometric functions, like sine, cosine, and tangent, and their reciprocals in terms of cofunctions and use their properties to compare two trigonometric functions.

Q1:

Simplify .

• A
• B
• C
• D

Q2:

Simplify .

• A
• B
• C
• D

Q3:

Simplify .

Q4:

Simplify .

• A
• B
• C
• D

Q5:

Using the fact that , which of the following is equivalent to ?

• A
• B
• C
• D
• E

Q6:

Which of the following is equivalent to ?

• A
• B
• C
• D
• E

Q7:

Which of the following is equivalent to ?

• A
• B
• C
• D
• E

Q8:

Which of the following is equal to ?

• A
• B
• C
• D

Q9:

Which of the following is equal to ?

• A
• B
• C
• D

Q10:

Which of the following is equivalent to ?

• A
• B
• C
• D
• E

Q11:

Simplify .

• A
• B
• C
• D

Q12:

Which of the following is equal to ?

• A
• B
• C
• D

Q13:

Simplify .

• A
• B
• C
• D

Q14:

Simplify .

• A
• B
• C
• D

Q15:

Simplify .

• A
• B
• C
• D

Q16:

Which of the following is equivalent to ?

• A
• B
• C
• D
• E

Q17:

Which of the following is equivalent to ?

• A
• B
• C
• D
• E

Q18:

Simplify .

• A
• B
• C
• D

Q19:

Determine whether the following statement is true or false:

.

• ATrue
• BFalse

Q20:

True or false: .

• AFalse
• BTrue

Q21:

Determine whether the following statement is true or false:

.

• ATrue
• BFalse

Q22:

Determine whether the following statement is true or false:

.

• AFalse
• BTrue

Q23:

Given that , find the value of .

• A
• B
• C
• D
• E

Q24:

Given that , find the value of .

• A
• B
• C
• D1
• E

Q25:

Find given and are two complementary angles where .

• A
• B
• C
• D