Question

express the following as sum or difference of trigonometric ratios
2sin 32°.cos 28°​

Answer 1

We have the formula,

$2\sin x\cos y=\sin (x+y)+\sin (x-y)$

Then,

$2\sin 32^{\circ}\cos 28^{\circ}=\sin (32^{\circ}+28^{\circ})+\sin (32^{\circ}-28^{\circ})\\\\\\\underline {\underline {2\sin 32^{\circ}\cos 28^{\circ}=\sin 60^{\circ}+\sin 4^{\circ}}}$