Simplify :
`(a^(2))/(sin^(2)theta)+(b^(2))/(cos^(2)theta)`

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

if (cos^(2)theta)/(a)=(sin^(2)theta)/(b) then (cos^(4)theta)/(a)+(sin^(4)theta)/(b)=?

int_ (0) ^ ((pi) / (2)) sin theta cos theta (a ^ (2) sin ^ (2) theta + b ^ (2) cos ^ (2) theta) ^ ((1) / ( 2)) d theta = ((1) / (3)) ((a ^ (2) + ab + b ^ (2)) / (a + b))

tan^(2)theta-tan^(2)(90^(@)-theta)=(sin^(2)theta-cos^(2)theta)/(sin^(2)theta cos^(2)theta)

Prove the following identity: ((1)/(sec^(2)theta-cos^(2)theta)+(1)/(cos ec^(2)theta-sin^(2)theta))sin^(2)theta cos^(2)theta=(1-sin^(2)theta cos^(2)theta)/(2+sin^(2)cos^(2)theta)

Simplify cos^2theta-sin^2theta

What is the simplified value of [(cos^(2) theta)/(1+sin theta)- (sin^(2) theta)/(1 + cos theta)]^(2) ?

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

If sin^(-1)x=theta+beta andsin ^(-1)y=theta-beta, then 1+xy is equal to sin^(2)theta+sin^(2)beta(b)sin^(2)theta+cos^(2)beta cos^(2)theta+cos^(2)theta(d)cos^(2)theta+sin^(2)beta

Simplify (sin(180^(@)+theta)cos(360^(@)-theta)tan(270^(@)-theta))/(sec^(2)(90^(@)+theta)tan(-theta)sin(270^(@)+theta))