Prove that
`sin (pi + theta) = - sin theta`

Prove that sin ^(2) theta + sin ^(2) (theta+(pi)/(3))+ sin ^(2) (theta-(pi)/(3))=(3)/(2)

Prove that, sin^(2) (pi/8 + theta/2) - sin^(2)(pi/8 - theta/2) = 1/sqrt2 sin theta

Prove that : (sin theta + 2 sin 3theta + sin 5theta)/(sin 3theta + 2 sin 5theta + sin 7theta) = (sin 3theta)/(sin 5theta)

Prove that : sin 2 theta= 2sin theta cos theta .

Prove that : (1+ sin theta)/(1-sin theta) = tan^2 (pi/4 + theta/2)

Prove that :(1+sin theta)/(1-sin theta)=tan^(2)((pi)/(4)+(theta)/(2))

Prove that (1+sin theta)/(1-sin theta)=tan^2(pi/4+theta/2)

Prove that sin theta+sin3 theta+sin5 theta+....+sin(2n-1)theta=(sin^(2)n theta)/(sin theta)

prove that sin theta + tan theta = (cos theta) / (1-sin theta)

Prove that: sin4 theta=4 sin theta cos^(3)theta-4cos theta sin^(3)theta