If `sin theta=cos theta,` then find `theta.`

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

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

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

If x sin^3 theta+ y cos^3 theta = sin theta cos theta and x sin theta = y cos theta, Find the value of x^2 + y^2.

Given : 4 sin theta = 3 cos theta , find the value of : (i) sin theta (ii) cos theta (iii) cot^(2) theta - "cosec"^(2) theta (iv) 4 cos^(2) theta - 3 sin^(2) theta + 2

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

Find theta , " if " sin 5 theta = cos 4 theta : where 5 theta and 4 theta are acute angles.

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

if theta is a parameter then x=a ( sin theta + cos theta), y=b( sin theta - cos theta ) respresents