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1.7.22 Proofs involving trigonometric functions (A-level only)

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Question 7

Prove the identities:

a.

sec⁡2x−cosec2x≡tan⁡2x−cot⁡2x\sec^2x - \text{cosec}^2x \equiv \tan^2x - \cot^2xsec2x−cosec2x≡tan2x−cot2x

[2]
b.

(sec⁡x−cos⁡x)2≡tan⁡2x−sin⁡2x(\sec x - \cos x)^2 \equiv \tan^2x - \sin^2x(secx−cosx)2≡tan2x−sin2x

[4]

1.7.22 Proofs involving trigonometric functions (A-level only) Questions

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