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1.5 Trigonometry

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Question 67

Prove that:

a.

sec⁡4x−tan⁡4x≡1+2tan⁡2x\sec^4x - \tan^4x \equiv 1 + 2\tan^2xsec4x−tan4x≡1+2tan2x

[3]
b.

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

sec⁡4x−tan⁡4x=3 \sec^4x - \tan^4x = 3 sec4x−tan4x=3
[4]

1.5 Trigonometry Questions

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