JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

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Application +4 | -1

\sin \theta=\frac{12}{13}\left(0 < \theta < \frac{\pi}{2}\right)

and

\cos \phi=-\frac{3}{5},\left(\pi < \phi < \frac{3 \pi}{2}\right)

Then

\sin (\theta+\phi)

will be

View answer and explanation

Correct option: B

\frac{-56}{65}

Option B (

\frac{{-56}}{{65}}

) is correct because it is obtained by correctly applying the sine addition formula and considering the quadrant of

\phi

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C

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