Trigo Problem Sheet-1

Trigo Problem Sheet-1

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Unformatted text preview: sin α and sin β ; (iii) evaluate sin2 2α and sin2 2β . 5. Show that, for x ∈ (−π, π ), 1 x tan−1 (x) − tan−1 = tan−1 x2 − 1 . 2x 6. Prove the following trigo identity: cos2 θ = cosec θ − sin θ . cosec θ 7. Solve the trigo equation cos 5θ − cos θ = sin 3θ ; 0 ≤ θ ≤ 2π . 8. Given that sec A = cos B + sin B , show that tan2 A = sin 2B . 9. Find x, such that sin−1 x + tan−1 x = π/2. 10. Eliminate θ OR If x = a + r cos θ, and y = b + r sin θ, prove that x2 + y 2 − 2a...
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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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