`sin theta -cos theta=0`

If the system of linear equations {:((cos theta)x + (sin theta) y + cos theta=0),((sin theta)x+(cos theta)y + sin theta=0),((cos theta)x + (sin theta)y -cos theta=0):} is consistent , then the number of possible values of theta, theta in [0,2pi] is :

What is the equation of the plane which passes through the z-axis and is perpendicular to the line (x-a)/(cos theta) = (y+2)/(sin theta) = (z-3)/0 ? (A) x+y tan theta=0 (B) y+x tan theta=0 (C) x cos theta-y sin theta=0 (D) x sin theta-y cos theta=0

Solve sin 2 theta+cos theta=0 .

If cos 3theta+sin3theta+(2sin2theta-3)(sin theta-cos theta)gt0 , then theta lies in

Solve 2 sin theta cos theta = cos theta. ( 0^(@) < theta lt 360^(@)).

Solve : 3-2 cos theta -4 sin theta - cos 2theta+sin 2theta=0 .

If 5 cos theta = 6 , sin theta , evalutate : (12 sin theta - 3cos theta)/(12 sin theta + 3 cos theta)

Solve the general vlaue. 3-2cos theta -4sin theta - cos 2 theta + sin 2 theta =0

If tan theta = p/q then (p sin theta - q cos theta)/(p sin theta + q cos theta)=

Prove that : (1+ sin theta - cos theta) / (1+ sin theta + cos theta ) = tan (theta/2)