Prove that `sin^2theta

Prove that sin^(2)theta+cos ec^(2)theta>=2

Prove that sin^(2)theta+sin^(2)2 theta+sin^(2)3 theta+....+sin^(2)n theta=(n)/(2)-(sin n theta cos(n+1)theta)/(2sin theta)

Prove that sin^(2)theta=((x+y)^(2))/(4)xy is possible for real values of x and y only when x=y and x!=0.

Prove that: (sin2theta)/(costheta cos3theta)+(sin4theta)/(cos3theta.cos5theta)+(sin6theta)/(cos5theta.cos7theta)+… to terms = 1/(2sintheta) [sec(2n+1)theta-sectheta]

Prove that: (sin2 theta)/(1+cos2 theta)=tan theta

Prove that: (sin2 theta)/(1+cos2 theta)=tan theta

Prove that: (sin2 theta)/(1-cos2 theta)=cot theta

If tan theta=(1)/(2), prove that sin2 theta+2cos2 theta=2

Prove that: sin^(2)theta=sin^(2)alpha, then theta=n pi+-alpha,n in Z

If tan theta=(3)/(4), prove that sin2 theta=(24)/(25),cos2 theta=(7)/(25) and tan3 theta=-(117)/(44)