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Find cos 2x if sin x=1/2.(a) 1/2(b) 1/\(\sqrt{2}\)(c) \(\sqrt{3}\)/2(d) 1The question was asked during an internship interview.The query is from Trigonometric Functions of Sum and Difference of Two Angles-1 topic in division Trigonometric Functions of Mathematics – Class 11

Answer» CORRECT CHOICE is (c) \(\SQRT{3}\)/2

The best EXPLANATION: We know, cos 2X = cos^2x – sin^2x = 1-2sin^2x {cos^2x = 1-sin^2x}

= 1-2(1/2)^2 = 1-2(1/4) = 1-1/2 = 1/2.


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