Question

Find the value of $2cos45^{\circ }sin15^{\circ }$.

• A. $\frac{\sqrt{3}+1}{2}$
• B. $1/2$
• C. $\frac{\sqrt{3}-1}{2}$
• D. $\frac{\sqrt{3}}{2}$

Answer 1

Answer: (C)

We have, $2cos45^{\circ }sin15^{\circ }$
$=sin(45^{\circ }+15^{\circ })-sin(45^{\circ }-15^{\circ })$
$=sin60^{\circ }-sin30^{\circ }=\frac{\sqrt{3}-1}{2}$