Question

2 cos 2 A =√3 find A , sin 3 A , sin ^2 (75-A), cos^2(45+A)

Answer 1

2 cos2A = √3

=> cos 2A = √3/2

=> cos 2A = cos 30°

=> 2A = 30°

=> A = 15° -----------(1) .

sin3A = sin45° = 1/√2 ------------(2) .

sin²(75-A) = sin²(75-15) = sin²60°

= (√3/2)² = 3/4 ------------(3) .

cos²(45+A) = cos²(45+15) = cos²60°

= (1/2)² = 1/4 ----------(4) .

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