JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

1 Easy

1 of 1

Application +4 | -1

\theta

lies in the first quadrant and

5\,\,\tan \,\,\theta = 4

, then

\frac{{5\,\,\sin \,\,\theta - 3\,\,\cos \,\,\theta }}{{\sin \,\,\theta + 2\,\,\cos \,\,\theta }}

is equal to

View answer and explanation

Correct option: A

\frac{5}{{14}}

Option A (5/14) is correct because after finding sin θ and cos θ from the given tan θ, substituting them into the expression yields 5/14.

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\tan \alpha=\frac{p}{q}

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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)=