(v)quad tan^(2)theta-sin n^(2)beta=(sin^(2)theta-sin^(2)beta)/(cos^(2)theta*cos^(2)beta)

If sin^(-1)x=theta+beta andsin ^(-1)y=theta-beta, then 1+xy is equal to sin^(2)theta+sin^(2)beta(b)sin^(2)theta+cos^(2)beta cos^(2)theta+cos^(2)theta(d)cos^(2)theta+sin^(2)beta

cos^(2)theta+sin^(2)theta cos2 beta=cos^(2)beta+sin^(2)beta cos2 theta

If sin^(-1)x=theta+betaa n dsin^(-1)y=theta-beta, then 1+x y is equal to sin^2theta+sin^2beta (b) sin^2theta+cos^2beta cos^2theta+cos^2theta (d) cos^2theta+sin^2beta

If sin^(-1)x=theta+betaa n dsin^(-1)y=theta-beta, then 1+x y is equal to sin^2theta+sin^2beta (b) sin^2theta+cos^2beta cos^2theta+cos^2theta (d) cos^2theta+sin^2beta

Prove that: cos^(2)theta+sin^(2)theta cos2 beta=cos^(2)beta+sin^(2)beta cos2 theta

If tan theta=(tan alpha+tan beta)/(1+tan alpha tan beta) then show that sin2 theta=(sin2 alpha+sin2 beta)/(1+sin2 alpha sin2 beta)

If theta is an angle given by cos theta=(cos^(2)alpha+cos^(2)beta+cos^(2)gamma)/(sin^(2)alpha+sin^(2)beta+sin^(2)gamma) where alpha,beta,gamma are the angles made by a line with the axes bar(OX),bar(OY),bar(OZ) respectively then the value of theta is

If tan theta = ( tan alpha - tan beta)/(1-tan alpha tan beta),"show that", sin 2 theta=(sin 2 alpha- sin 2 beta)/(1- sin2 alpha sin 2 beta).

Prove that : cos^2 theta + sin^2 theta cos 2 beta = cos^2 beta + sin^2 beta cos 2theta

If tan theta = ( tan alpha + tan beta)/(1 + tan alpha tan beta),"show that " sin 2 theta =(sin 2 alpha + sin 2 beta)/(1+sin 2 alpha sin 2 beta)