Trigo Problem Sheet-1

2 2 2 upcse core mathematics problem solving classes

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Unformatted text preview: 5. Prove the identity: 4 cos4 θ + sin4 θ = 3 + cos 4θ. 26. If sin θ + sin φ = a, and cos θ + cos φ = b, prove that sin θ +φ 2 a 27. Prove that θ +φ 2 cos = b θ −φ 2 2 + b2 a 2 cos = . 1 + tan 2θ tan 3θ cos2 θ = . 1 + tan θ tan 3θ cos2 2θ 28. If A + B + C = π OR If A, B , and C are angles of a ∆ ABC, prove that sin B + sin C − sin A = 4 cos A B C sin sin . 2 2 2 UPCSE Core Mathematics Problem Solving Classes Week 0 3 29. If cos(θ − α) = p, and sin(θ + β ) = q , express cos θ and sin θ in terms of α,...
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This note was uploaded on 03/26/2013 for the course SENG 1 taught by Professor Mf during the Spring '13 term at UCL.

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