`tan^(2)(90^(@) - theta) - cosec^(2) theta = `

"cosec"^(2) theta * cot^(2) theta -sec^(2) theta * tan^(2) theta - (cot^(2) theta - tan^(2) theta ) (sec^(2) theta * "cosec"^(2) theta -1)=

Prove that :(sin theta cos(90^(0)-theta)cos theta)/(sin(90^(0)-theta))+(cos theta sin(90^(0)-theta)sin theta)/(cos(90^(@)-theta))=1csc^(2)(90^(@)-theta)-tan^(2)theta=cos^(2)(90^(@)-theta)+cos^(2)theta

Prove that (tan theta + cot theta)^(2) = "sec"^(2) theta + "cosec"^(2)theta = "sec"^(2) theta. "cosec"^(2) theta .

Prove each of the following identities : ((1+ tan^(2) theta) cot theta)/("cosec"^(2) theta ) = tan theta

Write the value of "cosec"^(2)(90^(@)-theta)-tan^(2)theta.

What is the value of [tan^2 (90 - theta) - sin^2 (90 - theta)] cosec^2 (90 - theta) cot^2 (90 - theta) ?

What is the value of [tan^(2)(90-theta)-sin^(2)(90-theta)]cosec^(2)(90-theta)cot^(2)(90-theta) ?

The value of cosec ^(2) theta cot ^(2) theta - sec ^(2) theta tan ^(2) theta -(cot ^(2) theta- tan ^(2) theta) (sec ^(2) theta cosec ^(2) theta -1) is-

Simplify the following: (i) "sin"(90^(@)+theta)"tan"(270^(@)+theta)cot(90^(@)+theta) cosec(270^(@)+theta) (ii) ("sin"(-theta)"tan"(180^(@)+theta)"tan"(90^(@)+theta))/(cot(90^(@)-theta)cos(360^(@)-theta)"sin"(180^(@)-theta))