Trigonometric Identity Proofs Worksheet
Prove trigonometric identities using fundamental identities and algebraic manipulation for Grade 11 math students.
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Trigonometric Identity Proofs
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Prove the following trigonometric identities. Show all your steps clearly. Remember to work on one side of the equation until it matches the other side.
1. Prove the identity: (sin x)(cot x) = cos x
2. Prove the identity: sec θ - cos θ = sin θ tan θ
3. Prove the identity: (1 + sin x)(1 - sin x) = cos² x
4. Prove the identity: (csc x - cot x)(csc x + cot x) = 1
5. Prove the identity: (tan θ + cot θ)² = sec² θ + csc² θ
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