# 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

**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

**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