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1 Pure Mathematics

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Question 91

Establish the following trigonometric results.

a.

cosec⁡2ϕ−tan⁡2ϕ≡cot⁡2ϕ−sec⁡2ϕ+2\operatorname{cosec}^2\phi - \tan^2\phi \equiv \cot^2\phi - \sec^2\phi + 2cosec2ϕ−tan2ϕ≡cot2ϕ−sec2ϕ+2

[2]
b.

(sec⁡x+cos⁡x)2≡tan⁡2x+cos⁡2x+3(\sec x + \cos x)^2 \equiv \tan^2 x + \cos^2 x + 3(secx+cosx)2≡tan2x+cos2x+3

[3]
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1 Pure Mathematics Questions

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