If `sqrt3 tan theta=3sin theta` then find the value of `sin^2 theta-cos^2 theta`

If sqrt3 tan theta = 3 sin theta , find the value of sin theta^2 theta - cos^2 theta , where theta ne 0 .

If sqrt(3) tan theta=3 sin theta and theta!=0 then find the value of sin^(2)theta-cos^(2)theta .

If sqrt(3)tan theta=1 then find value of sin^(2)theta-cos^(2)theta

If sqrt3 tan theta = 1 and theta is acute, find the value of sin 3 theta + cos 2 theta

If sqrt(3) tan theta =1 and theta is acute, find the value of sin 3 theta + cos 2 theta .

If 3cos theta=5sin theta, then find the value of 5sin theta-2sec^(3)theta+2cos theta5sin theta+2sec^(3)theta-2cos theta

If sqrt(3)sin theta=cos theta, find the value of (3cos^(2)theta+2cos theta)/(3cos theta+2)

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

If tan theta = -4/3 , find the value of (sin theta + cos theta) .

If tan theta = 4/3 , find the value of (sin theta + cos theta) .