JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

1 Easy

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Application +4 | -1

The value of

{\sin ^2}\,\,5^\circ + {\sin ^2}\,\,10^\circ + {\sin ^2}\,\,15^\circ + \ldots \,\, + {\sin ^2}\,\,85^\circ + {\sin ^2}\,\,90^\circ

, is

View answer and explanation

Correct option: C

9\,\,\frac{1}{2}

Option C (

9\,\frac{1}{2}

) is the correct answer because by pairing terms and using trigonometric identities, the sum simplifies to this value.

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\triangle A B C

C

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\sin ^2(A / 2)+\sin ^2(B / 2)-\sin ^2(C / 2)=