MargoJanvier MargoJanvier

19-12-2020
Mathematics

contestada

Find 4cos2a, if
[tex] \cos(a) = \frac{ \sqrt{3} }{2} [/tex]

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LammettHash LammettHash

20-12-2020

If you mean to find 4 cos(2a), then recall the double angle identity for cosine:

cos(2x) = 2 cos²(x) - 1

so that

4 cos(2a) = 4 (2 cos²(x) - 1) = 4 (√3 - 1)

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