If `cos2theta+9sin2theta-6sintheta+54costheta=1,` then the value of `100 tan^2theta +9+14` is equal to

If sintheta+costheta=1 , then the value of sin2theta is

If costheta=3/4 , then find the value of 9tan^2theta+9 .

If sintheta +costheta =1 , then the value of sin2theta is equal to

if sintheta-costheta=0, then the value of (sin^4theta+cos^4theta)

If sintheta-costheta=1 , then the value of sin^3theta-cos^3theta is __________ .

If sintheta-costheta=1, then the value of sin^3theta-cos^3theta is __________

If sintheta_1sintheta_2-costheta_1costheta_2+1=0, then the value of tan((theta_1)/2)cot((theta_2)/2) is equal to (a) -1 (b) 1 (c) 2 (d) -2

If sintheta_1sintheta_2-costheta_1costheta_2+1=0, then the value of tan((theta_1)/2)cot((theta_2)/2) is equal to -1 (b) 1 (c) 2 (d) -2

Prove: (1+costheta-sin^2theta)/(sintheta(1+costheta))= cottheta

If sin theta = cos theta find the value of : 3 tan ^(2) theta+ 2 sin ^(2) theta -1