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

int(2sin theta cos theta)/(sin^(4)theta+cos^(4)theta)d theta

(sin theta-cos theta)^(2)*(sin theta+cos theta)^(2)=

((sin theta+cos theta)^(2)-1)/(sin 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))

(sin theta + cos theta)/(sin theta - cos theta) + (sin theta - cos theta)/(sin theta + cos theta)= ________

int(sin^(6)theta+cos^(6)theta)/(sin^(2)theta cos^(2)theta)d theta=

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

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