Trigonometric Identities Worksheet
A Grade 10 Math worksheet covering fundamental trigonometric identities, including reciprocal, quotient, Pythagorean, and co-function identities.
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Trigonometric Identities Worksheet
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Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. The reciprocal of sin θ is .
2. The reciprocal of cos θ is .
3. The reciprocal of tan θ is .
4. csc θ = 1 / .
5. sec θ = 1 / .
1. Which of the following is equivalent to tan θ?
sin θ / cos θ
cos θ / sin θ
1 / sin θ
1 / cos θ
2. Which of the following is a Pythagorean identity?
sin²θ - cos²θ = 1
sin²θ + cos²θ = 1
tan²θ - sec²θ = 1
cot²θ + csc²θ = 1
1. sin(90° - θ) = cos θ
True
False
2. tan(π/2 - θ) = cot θ
True
False
1. Prove the identity: (sin θ)(sec θ) = tan θ
2. Prove the identity: (1 - cos²θ) / sin θ = sin θ
Match each expression on the left with its equivalent identity on the right.
1. 1/sin θ
a. cot θ
2. sin θ / cos θ
b. sec θ
3. 1 + tan²θ
c. csc θ
4. cos θ / sin θ
d. tan θ
5. 1/cos θ
e. sec²θ
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