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1.5.4 Trigonometry

Medium
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Question 4

Prove that:

a.

sec⁡4A−tan⁡4A≡2sec⁡2A−1\sec^4 A - \tan^4 A \equiv 2\sec^2 A - 1sec4A−tan4A≡2sec2A−1

[2]
b.

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

sec⁡4A−tan⁡4A=3 \sec^4 A - \tan^4 A = 3 sec4A−tan4A=3
[4]

1.5.4 Trigonometry Questions

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