InterviewSolution
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InterviewSolution
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Sin2 60° + Cos2 30° + Tan2 60° =A) 9/2B) 2/9C) 1/9D) 1 |
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Answer» Correct option is: A) \(\frac{9}{2}\) \(sin^2 \, 60^\circ + cos^2 \, 30^\circ + tan^2\, 60^\circ\) = \((\frac {\sqrt3}2)^2 + (\frac {\sqrt3}2)^2 + ({\sqrt3})^2\) (\(\because\) sin \(60^\circ\) = \(\frac {\sqrt3}2\), cos \(30^\circ\) = \(\frac {\sqrt3}2\) and tan \(60^\circ\) = \(\sqrt3\)) = \(\frac 34 + \frac 34 + 3\) = \(\frac 64 + \frac {12}4 = \frac {18}4 = \frac 92\) Hence, \(sin^2\, 60^\circ + cos^2\, 30^\circ + tan^2\, 60^\circ = \frac 92\) Correct option is: A) \(\frac{9}{2}\) |
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