Grade 11 Trigonometric Identities Worksheet
A worksheet for Grade 11 students to practice fundamental trigonometric identities, including reciprocal, quotient, Pythagorean, and sum/difference identities.
Includes
Standards
Topics
Trigonometric Identities Practice
Name:
Date:
Score:
Read each question carefully and provide the best answer. Show all your work for full credit.
1. Which of the following is equivalent to (1 - sin²θ) / cos θ?
sin θ
cos θ
tan θ
sec θ
2. If sec θ = 5/3 and θ is in Quadrant IV, what is the value of sin θ?
4/5
-4/5
3/5
-3/5
3. The reciprocal of sin θ is .
4. The identity tan θ = sin θ / is known as the quotient identity.
5. According to the Pythagorean identity, sin²θ + cos²θ = .
6. The identity 1 + cot²θ = csc²θ is a Pythagorean identity.
True
False
7. The identity cos(A + B) = cos A cos B + sin A sin B is correct.
True
False
8. Simplify the expression: (sec θ - 1)(sec θ + 1).
9. Prove the identity: (sin x + cos x)² = 1 + 2 sin x cos x.
Match each trigonometric expression on the left with its equivalent identity on the right.
10. csc θ
a. tan θ
11. sin θ / cos θ
b. 1 / sin θ
12. 1 + tan²θ
c. sec²θ
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