If `sin x+siny+sinz=0=cosx+cosy+cosz`, then find the value of `cos(theta-x)+cos(theta-y)+cos(theta-z)`

sin theta -cos theta=0

Find the value of (1+cos theta+sin theta)/(1-cos theta +sin theta)

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

If cot theta = (3)/(4) find the value of : ( sin theta- cos theta)/(sin theta+cos theta)

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

If sin(pi cos theta) = cos(pi sin theta) , then the value of cos(theta+- pi/4) is

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 x+siny+sinz=3 . Find the value of cos x+cosy+cosz .

If a sin x+b cos(x+theta)+b cos(x-theta)=d, then the minimum value of |cos theta| is equal to