`(sin theta.cos theta)^2=?`.

cos^(2)theta-sin theta.cos theta-(1)/(2)=0

int (d theta)/((sin theta - 2 cos theta)(2 sin theta + cos theta))

int(d theta)/((sin theta-2cos theta)(2sin theta+cos theta))=

Prove each of the following identities : (i) (sin theta - cos theta)/(sin theta + cos theta) + ( sin theta+ cos theta)/(sin theta - cos theta) = (2)/((2 sin^(2) theta -1)) (ii) (sin theta + cos theta ) /(sin theta - cos theta) + ( sin theta - cos theta) /(sin theta + cos theta) = (2) /((1- 2 cos^(2) theta))

If (2sin theta + 3 cos theta) =2 , prove that (3 sin theta - 2 cos theta ) = pm 3.

If cos ec theta=2 then show that (cot theta+(sin theta)/(1+cos theta))=2

if cos ec theta=2 then show that (cot theta+(sin theta)/(1+cos theta))=2

(1+sin 2theta+cos 2theta)/(1+sin2 theta-cos 2 theta) =

If the equation sin theta(sin theta + 2 cos theta )=a has a real solution then a belongs to the interval