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

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

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

If 3 sin theta + 4 cos theta=5 , then find the value of 4 sin theta-3 cos theta .

If alpha and beta are roots of the equation a cos theta + b sin theta = c , then find the value of tan (alpha + beta).

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=(4)/(3) , then find the value of sin theta,cos theta and cos ectheta in first quadrant. If sin theta+cos ec theta=2 then find the value of sin^(8 )theta+cos ec^(8)theta .

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

Let sin theta-cos theta=1 then the value of sin^(3) theta-cos^(3)theta is :

If tan theta=-3/4 and pi/2 < theta < pi, find the values of sin theta,cos theta and cot 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 .