Worksheet: Double-Angle and Half-Angle Identities
In this worksheet, we will practice using the Pythagorean identity and double-angle formulas to evaluate trigonometric values.
Q2:
Find the value of given without using a calculator.
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Q6:
Find, without using a calculator, the value of given where .
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Q7:
is a triangle where . Find the value of .
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Q8:
Find the value of given where .
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Q9:
Find, without using a calculator, given where .
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- D16
Q10:
Which of the following is equal to ?
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Q11:
Use the addition formula to find an expression for .
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Q12:
Find the value of given where without using a calculator.
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Q13:
Find the value of and then without using a calculator.
- A, 6
- B, 6
- C, 8
- D, 16
Q14:
Find the value of given .
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Q15:
Find, without using a calculator, the value of given where .
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Q16:
Use the addition formula to find an expression for .
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Q17:
Which of the following is equal to ?
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Q18:
Using the half angle formulas, or otherwise, find the exact value of .
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Q19:
Find the value of without using a calculator.
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Q20:
Evaluate without using a calculator.
- A18
- B36
- C
- D1
Q21:
Simplify .
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Q22:
is a triangle, where the ratio between its lengths , , and is . Find .
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Q23:
Find the value of without using a calculator.
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Q24:
Calculate .
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Q25:
Find the value of given where .
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