Grade 9 Trigonometric Identities Worksheet
A Grade 9 math worksheet focusing on fundamental trigonometric identities, including reciprocal, quotient, and Pythagorean identities, with various question types.
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Trigonometric Identities Worksheet
Name:
Date:
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Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. Which of the following is the reciprocal identity for sin(θ)?
1/cos(θ)
1/tan(θ)
1/csc(θ)
1/sec(θ)
2. The Pythagorean identity states that sin²(θ) + cos²(θ) = ?
0
1
tan²(θ)
sec²(θ)
3. The quotient identity states that tan(θ) = sin(θ) / .
4. The reciprocal of cot(θ) is .
5. If sec(θ) = 1/cos(θ), then cos(θ) = 1/ .
6. The identity 1 + tan²(θ) = sec²(θ) is a Pythagorean identity.
True
False
7. csc(θ) is the reciprocal of cos(θ).
True
False
8. Express tan(θ) in terms of sin(θ) and cos(θ).
9. Simplify the expression (1 - sin²(θ)) / cos(θ).
Match each trigonometric expression on the left with its equivalent identity on the right.
10. sec(θ)
a. sin(θ)/cos(θ)
11. cot(θ)
b. 1/cos(θ)
12. tan(θ)
c. cos(θ)/sin(θ)
13. 1 + cot²(θ)
d. csc²(θ)
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