Mathematics

Problem

For an acute angle

\theta

, it is given that

\sin\theta - \cos\theta = \dfrac{1}{2}

. Find

\sin\theta

. a)

\dfrac{\sqrt{7}-1}{4}

\dfrac{\sqrt{10}}{4}

\dfrac{\sqrt{7}+1}{4}

\dfrac{\sqrt{5}+1}{4}