For angles and satisfying

MATHEMATICS · Single correct · ISC · Mathematics · Sets and Functions · Sets and Functions

Problem

For angles

\alpha

and

\beta

satisfying

\alpha+\beta=\dfrac{\pi}{2}

, which value of

\alpha-\beta

makes

\sin\alpha+\sin\beta

attain its maximum value? (a)

\dfrac{\pi}{2}

(b)

\dfrac{\pi}{4}

(c)

0

(d)

\dfrac{\pi}{6}