# Worksheet: Double-Angle and Half-Angle Identities

Q1:

Simplify .

• A
• B
• C
• D

Q2:

Simplify .

• A
• B
• C
• D

Q3:

Find the value of .

Q4:

Simplify .

• A
• B
• C
• D

Q5:

Find the value of without using a calculator.

• A
• B
• C
• D

Q6:

Find the value of .

Q7:

Find the value of given without using a calculator.

• A
• B
• C
• D

Q8:

Knowing that , find and .

• A
• B
• C
• D
• E

Q9:

Knowing that , find and .

• A
• B
• C
• D
• E

Q10:

Find the value of .

• A
• B
• C
• D

Q11:

Find the value of given where without using a calculator.

• A
• B
• C
• D

Q12:

Find, without using a calculator, the value of given where .

• A
• B
• C
• D

Q13:

Find, without using a calculator, the value of given where .

• A
• B
• C
• D
• E

Q14:

Find, without using a calculator, the value of given where .

• A
• B
• C
• D

Q15:

Find the value of given where without using a calculator.

• A
• B
• C
• D

Q16:

Find, without using a calculator, the value of given where .

• A
• B
• C
• D