Grade 9 Trigonometric Proofs Worksheet
A worksheet for Grade 9 students to practice trigonometric proofs, covering fundamental identities and basic proof techniques.
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Trigonometric Proofs Worksheet
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Date:
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Prove the following trigonometric identities. Show all your steps clearly and logically.
1. Prove the identity: sin(x) * cot(x) = cos(x)
2. Prove the identity: (1 - sin²(x)) / cos(x) = cos(x)
3. Prove the identity: tan(x) + cot(x) = sec(x) * csc(x)
4. The reciprocal of sin(x) is .
5. The Pythagorean identity states that sin²(x) + cos²(x) = .
6. Is the identity tan(x) = sin(x) / cos(x) true?
True
False
7. Is the identity 1 + cot²(x) = csc²(x) true?
True
False
8. Which of the following is equivalent to 1/sec(x)?
sin(x)
cos(x)
tan(x)
cot(x)
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