Question

If A = 45⁰, verify that :
(i) sin 2A = 2 sin A cos A

Answer 1

A= 45⁰ 

^{`⇒ 2A = 2xx45^0=90^0`}

^{(i) sin 2A = sin `90^0=1`}

2 sin A cos A = 2 sin `45^0 cos 45 ^0 = 2 xx1/sqrt(2) xx 1/sqrt(2) = 1`

∴ sin 2A = 2 sin A cos A