If `tan theta = b/a,` then find the value of `a cos 2theta + b sin 2theta`.

If a cos theta-b sin theta = c, then find the value of a sin theta + b cos theta.

If theta=45∘ find the value of tan^2theta + 1/sin^2theta

If sin theta_1 + sintheta_2 + sin theta_3 = 3 then find the value of cos theta_1 + cos theta_2 + cos theta_3.

If cot theta = 1 , find the value of : 5 tan^2 theta + 2 sin^2 theta - 3

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

If tan theta=2, then the find the value of (2sinthetacostheta)/(cos^(2)theta-sin^(2)theta) .

if a cos theta + b sin theta = c. then what is the value of a sin theta -b cos theta

Statement I If 2 cos theta + sin theta=1(theta != (pi)/(2)) then the value of 7 cos theta + 6 sin theta is 2. Statement II If cos 2theta-sin theta=1/2, 0 lt theta lt pi/2 , then sin theta+cos 6 theta = 0 .

If theta lies in the second quadrant and tan theta=(-5)/(12) , find the value of (2cos theta)/(1-sin theta) .

If 5 tan theta = 4 , find the value of : (8 sin theta-3costheta)/(8 sin theta+2costheta)