# Worksheet: Evaluating Trigonometric Functions Using Cofunction Identities

In this worksheet, we will practice using cofunction and odd/even identities to find the values of trigonometric functions.

Q1:

Find given where is a positive acute angle.

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Q2:

Which of the following is equal to ?

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Q3:

Find the value of given where .

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Q4:

Find the value of given where .

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Q5:

Find the value of given where .

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Q6:

Find the value of giving the answer in its simplest form.

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Q7:

Find the value of .

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Q8:

is a right-angled triangle at . Find given . • A
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Q9:

Simplify .

Q10:

Find the value of .

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Q11:

Find the value of given where .

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Q12:

In the figure, points and lie on the unit circle, and . Express the values of sine, cosine, and tangent of in terms of their values for . Check whether this is valid for all values of .

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Q13:

Simplify .

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Q14:

Find the value of .

Q15:

Find in degrees given where is an acute angle.

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Q16:

Find in degrees given where is an acute angle.

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Q17:

Given that , find the value of .

Q18:

Given that , find the value of .

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Q19:

Find given is in standard position and its terminal side passes through the point .

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Q20:

Find given is in standard position and its terminal side passes through the point .

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Q21:

Find given is in standard position and its terminal side passes through the point .

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Q22:

Find given is in standard position and its terminal side passes through the point .

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• D

Q23:

Find given is in standard position and its terminal side passes through the point .

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• D

Q24:

Find given is in standard position and its terminal side passes through the point .

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• C
• D

Q25:

Find given is in standard position and its terminal side passes through the point .

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• B
• C
• D