" If "sqrt(3)tan theta=1," 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 sqrt(3) tan theta=3 sin theta and theta!=0 then find the value of sin^(2)theta-cos^(2)theta .

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

if sin theta=cos theta, then find the value of 2tan 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 sin theta = 12/13 (0^(@) lt theta lt 90^(@)) , find the value of (sin^(2) theta - cos^(2)theta)/(2 sin theta cos theta) xx (1)/(tan^(2)theta) .

If sin theta = cos theta , then find the value of 2 tan theta + cos^(2) 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) .

If "cosec" theta = sqrt(5) , find the value of (i) 2-sin^(2)theta - cos^(2)theta (ii) 2 + (1)/(sin^(2)theta) - (cos^(2)theta)/(sin^(2)theta)