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What is the value of 2 sin 75° cos 75° ?1. \(\frac 12\)2. \(\frac 1 {\sqrt 2}\)3. \(\frac {\sqrt 3}2\)4. None of these |
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Answer» Correct Answer - Option 1 : \(\frac 12\) Concept: 2sinx cos x = sin 2x sin (90° + x) = cos x Calculation: Given, 2 sin 75° cos 75° = sin [2 (75°)] = sin (150°) = sin (90° + 60°) = cos 60° = \(\rm \dfrac 1 2\) Hence, the value of 2 sin 75° cos 75° is \(\rm \dfrac 1 2\) |
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