Question

if root3tan theta = 3sin theta, find the value of sin²theta - cos² theta

Answer 1

Given √3 tan teta=3sin teta

√3 sinteta/costeta =3 sin teta (sin teta gets cancelled)

√3/3 = cos teta

By this we get sin teta = √6/3

Hence sin² teta+ cos² teta=6/9 -3/9 = 3/9 = 1/3