Question

If root 2 sin theta = 1 . Find the value of sin theta + sin 2 theta

Answer 1

(Sqr2)sin(theta)=1

Sin(theta)=1/sqr2

So,theta=45 degrees

And cos(theta) =(square root of 2)/2=1/sqr2

Sin(2theta)=2sin(theta)cos(theta)=2(1/sqrt2)(sqrt2/2)=1

So,sin(theta)+sin(2theta)=1/sqr2+1=(sqrt2+1)/sqrt2