# Worksheet: Evaluating Trigonometric Functions Using Pythagorean Identities

In this worksheet, we will practice using the Pythagorean identities to find the values of trigonometric functions.

Q1:

Find given where .

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Q2:

Find given where .

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Q3:

Find the value of given .

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Q4:

Find the value of given where .

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Q5:

Find the value of given .

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Q6:

Find the value of given where .

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Q7:

Find given .

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Q8:

Find the value of given where .

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Q9:

Knowing that and , find .

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Q10:

Find the value of given where .

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Q11:

Find the value of given where .

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Q12:

Find given .

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Q13:

Simplify .

Q14:

Find , given is a right triangle at where .

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Q15:

Find , given is a right-angled triangle at where and . • A
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Q16:

Find the value of given and .

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Q17:

Find the value of given and .

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Q18:

Find the value of given where .

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Q19:

Find the value of .

Q20:

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

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Q21:

Find given where .

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Q22:

Find the value of given where .

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Q23:

Find the value of given where .

Q24:

Find the value of given where .

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Q25:

Find the value of given where and where is the largest angle in the range .

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