(v)tan^(2)theta-tan^(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

tan^(2)theta-tan^(2)(90^(@)-theta)=(sin^(2)theta-cos^(2)theta)/(sin^(2)theta cos^(2)theta)

prove that (1+cos ec^(2)alpha*tan theta)/(1+cos ec^(2)beta*tan^(2)theta)=(1+cot^(2)alpha*sin^(2)theta)/(1+cot^(2)beta*sin^(2)theta)

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

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

If cos^(2)alpha-sin^(2)alpha=tan^(2)beta , then the value of cos^(2)beta-sin^(2)beta is

If cos theta=cos alpha cos beta then tan((theta+alpha)/(2))tan((theta-alpha)/(2))=(i)tan^(2)((alpha)/(2))(ii)tan^(2)((beta)/(2))( iii)tan ^(2)((theta)/(2))(iv)cot^(2)((beta)/(2))

If cos(theta-alpha)=a,sin(theta-beta)=b, prove that a^(2)-2ab sin(alpha-beta)+b^(2)=cos^(2)(alpha-beta)

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 : cos^(2)theta-sin^(2)theta=tan^(2)alpha and costheta*cosalpha=cosbeta, "then" : beta=