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# Worksheet: Product-to-Sum Identities

Q1:

Simplify .

• A 0
• B
• C
• D

Q2:

Simplify .

• A 0
• B
• C
• D

Q3:

Find the value of , given where .

• A
• B
• C
• D

Q4:

Find the value of .

Q5:

The intensity of an electric current is given by where is the time in seconds. Find the intensity after one second without using a calculator using sum and product formulae.

• A
• B
• C
• D

Q6:

Find the exact value of .

• A
• B
• C
• D
• E

Q7:

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

• A
• B
• C
• D
• E

Q8:

Write the expression as a product of trigonometric expressions.

• A
• B
• C
• D
• E

Q9:

Find the value of given .

• A
• B
• C
• D

Q10:

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

• A
• B
• C
• D8
• E

Q11:

Write the expression as a sum or difference of trigonometric expressions.

• A
• B
• C
• D
• E

Q12:

Find the value of .

Q13:

Find given and where and are acute angles.

• A
• B
• C
• D

Q14:

Find the value of given where is the smallest positive angle and where .

• A
• B
• C
• D

Q15:

Simplify .

• A 0
• B
• C
• D

Q16:

is a triangle where and . Find without using a calculator.

• A
• B
• C
• D