Grade 12 Trigonometric Identities Worksheet
This worksheet covers fundamental trigonometric identities, including reciprocal, quotient, Pythagorean, and sum/difference identities, suitable for Grade 12 mathematics students.
Includes
Standards
Topics
Trigonometric Identities Review
Name:
Date:
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Read each question carefully and provide the most simplified answer. Show all your work for full credit.
1. The reciprocal identity for sine is csc θ = .
2. The quotient identity states that tan θ = / cos θ.
3. One of the Pythagorean identities is sin²θ + cos²θ = .
4. Which of the following is equivalent to 1 + cot²θ?
sec²θ
csc²θ
tan²θ
sin²θ
5. Simplify the expression: (1 - sin²θ) / cos θ
6. The identity tan(A + B) = (tan A + tan B) / (1 - tan A tan B) is true for all angles A and B where the terms are defined.
True
False
7. Prove the identity: tan θ + cot θ = sec θ csc θ
8. Without using a calculator, find the exact value of cos(75°). (Hint: 75° = 45° + 30°)
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