[" (ii) "tan theta-sin theta=sin theta tan theta-1],[" (iv) "sin^(2)theta-(1+sqrt(3))sin theta cos theta+sqrt(3)cos^(2)theta=0]

If tan theta=sqrt2-1 then sin theta cos theta=

If tan theta=4 then ((tan theta)/((sin^(3)theta)/(cos theta)+sin theta cos theta)) is equal to

tan theta=-(1)/(sqrt(3)),sin theta=(1)/(2) and cos theta=-(sqrt(3))/(2)

If tan(theta+15^@)= sqrt3 then sin theta+ cos 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 (sin theta tan theta(1+cot theta))/(sin theta+cos theta)

(xv) (cos^2 theta) / (1- tan theta) +( sin^3 theta)/ (sin theta - cos theta) = 1 + sin theta cos theta

(sin5 theta-2sin3 theta + sin theta) / (cos5 theta-cos theta) = tan theta

Prove that (sin theta+cos theta)/(sin theta- cos theta) + (sin theta - cos theta)/(sin theta + cos theta) = ( 2sec^(2) theta)/(tan^(2) theta -1) .