# Lesson Worksheet: Angle Sum and Difference Trigonometric Identities Mathematics

In this worksheet, we will practice evaluating trigonometric expressions using the sum and difference of angle identities.

**Q1: **

Simplify .

- A
- B
- C
- D

**Q2: **

Using the relation , find an expression for .

- A
- B
- C
- D

**Q3: **

Find the value of given and where and are two positive acute angles.

- A
- B
- C
- D
- E

**Q4: **

In triangle , and are acute angles, where , and . Without using a calculator, find the value of .

- A
- B
- C
- D

**Q5: **

Evaluate .

- A
- B0
- C
- D1

**Q6: **

Given that and , where and are two positive acute angles, determine .

- A
- B
- C
- D1

**Q7: **

Using the relations and , find an expression for .

- A
- B
- C
- D

**Q8: **

Does , given and ?

- AYes
- BNo

**Q9: **

Given that and , where and are two positive acute angles, determine .

- A
- B
- C
- D

**Q10: **

Find given and where and are acute angles.

- A
- B
- C
- D
- E