# Worksheet: Angle Sum and Difference Identities

Q1:

Simplify .

• A
• B
• C0
• D

Q2:

Simplify .

• A
• B
• C0
• D

Q3:

Simplify .

• A
• B
• C0
• D

Q4:

Given that , find the value of in degrees.

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• D
• E

Q5:

Evaluate .

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• D

Q6:

Evaluate .

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• D

Q7:

Evaluate .

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Q8:

Find .

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Q9:

Find .

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Q10:

Given that , where , and , where , find the exact value of .

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• E

Q11:

Given that , where , and , where , find the exact value of .

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• E

Q12:

Given that , where , and , where , find the exact value of .

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• E

Q13:

Given that , where , and , where , find the exact value of .

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• E

Q14:

Given that , where , and , where , find the exact value of .

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• E

Q15:

Given that , where , and , where , find the exact value of .

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• E

Q16:

Find given where and where .

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• E

Q17:

Find without using a calculator given and where and are acute angles.

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• D

Q18:

Find given and where and are acute angles.

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• E

Q19:

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

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• E

Q20:

Using the relation , find an expression for in terms of and which holds when .

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• E

Q21:

Let us consider the two shown figures, each showing two points on the unit circle.

How is the figure on the right obtained from the figure on the left?

• Aby rotating by an angle of about the origin
• Bby rotating by an angle of about the origin
• Cby rotating by an angle of about the origin
• Dby rotating by an angle of about the origin
• Eby rotating by an angle of about the origin

What can you say about the triangles and ?

• AThey are different.
• BThey are isosceles.
• CThey are congruent.
• DThey are equilateral.
• EThey are similar.

Find the coordinates of , , , and .

• A, , ,