[" If "tan^(2)theta=2tan^(2)alpha+1" then "cos2 theta+sin^(2)alpha=],[" 1) "-1]

If cos^(2)theta-sin^(2)theta=tan^(2)alpha, "then" : sqrt2 * cos theta * cos alpha=.... A) sin theta * sin alpha B)1 C) tan^(2)theta D)none of these

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

If cos^2theta-sin^2 theta = tan^2 alpha , then show that cos^2 alpha -sin^2 alpha = tan^2 theta .

If 32"tan"^(8)theta" = 2"cos"^(2) alpha- 3"cos" alpha " and "3"cos" 2 theta = 1, "then" alpha =

If 32"tan"^(8)theta" = 2"cos"^(2) alpha- 3"cos" alpha " and "3"cos" 2 theta = 1, "then" alpha =

If cos^(2) theta=(a^(2)-1)/(3) and "tan"^(2) (theta)/(2)= tan^((2)/(3))alpha prove that cos ((2)/(3)) alpha+ sin ^((2)/(3)) alpha=((2)/(a))^((2)/(2))

Show that the three equations sin^(2)theta = sin^(2)alpha, cos^(2)theta = cos^(2)alpha and tan^(2)theta = tan^(2)alpha are all identical and the solution of each equation is npi +-alpha .

If tan(pi/4+theta/2)=tan^3(pi/4+alpha/2) then sin(theta)=(sin(alpha)(3+sin^2(alpha)))/(1+3sin^2(alpha))