What is the best first step if your plan is to find the exact value of cos 75°using the cosine angle sum identity?
1 answer:
Cos 75 = cos (45 + 30) = cos45 cos30 - sin45 sin30
= 1/ sqrt2 * sqrt3/2 - 1/ sqrt2 * 1/2
= sqrt3 / 2 sqrt2 - 1 / 2 sqrt2
= sqrt3 - 1
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2 sqrt2
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