6.4 Trigonometric Identities
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Prove that:

a.

cosec4θ−cot⁡4θ≡1+2cot⁡2θ\text{cosec}^4 \theta - \cot^4 \theta \equiv 1 + 2\cot^2 \thetacosec4θ−cot4θ≡1+2cot2θ

[2]
b.

Hence solve, for 0≤θ≤3600 \leq \theta \leq 3600≤θ≤360, the equation,

cosec4θ−cot⁡4θ=7 \text{cosec}^4 \theta - \cot^4 \theta = 7 cosec4θ−cot4θ=7
[4]

6.4 Trigonometric Identities Questions

Practise Edexcel A Level Maths 6.4 Trigonometric Identities with exam-style questions for A Level Maths. 12 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

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6.4 Trigonometric Identities Questions

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