JEE MATHEMATICS MCQ: MULTIPLE AND SUBMULTIPLE ANGLES

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Application +4 | -1

\theta

and

\phi

are acute angles. If

\sin \theta=\frac{1}{2}

and

\cos \phi=\frac{1}{3}

, then

\theta+\phi \in \ldots

View answer and explanation

Correct option: B

\left(\frac{\pi}{2}, \frac{2 \pi}{3}\right)

Option B (

\left(\frac{{\pi}}{{2}}, \frac{{2 \pi}}{{3}}\right)

) is correct because given the values of

\sin \theta

and

\cos \phi

, the sum

\theta + \phi

falls within this interval.

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