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1 Unit 1: Pure Mathematics A

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Question 38

Prove that:

a.

sin⁡4α−cos⁡4α≡1−2cos⁡2α\sin^4 \alpha - \cos^4 \alpha \equiv 1 - 2\cos^2 \alphasin4α−cos4α≡1−2cos2α

[2]
b.

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

sin⁡4α−cos⁡4α=0.5 \sin^4 \alpha - \cos^4 \alpha = 0.5 sin4α−cos4α=0.5
[4]
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1 Unit 1: Pure Mathematics A Questions

  1. A Level
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