Exemplar - Prove the given identities — task. Maths CBSE Live product, Class 10 (2026-27).

Verify that the given trigonometric expressions\(cot^4 \ A + cot^2\ A = cosec^4\ A-cosec^2\ A\)

Proof:

\(cot^4 \ A + cot^2\ A\)

\(=\)

\(=\) RHS

Hence proved.

Answer variants:

{cosec}^{4} A - {cosec}^{2} A

\cot^{2} A ({cosec}^{2} A) [1 + \cot^{2} A = {cosec}^{2} A]

({cosec}^{2} A - 1) {cosec}^{2} A [\cot A = {cosec}^{2} A - 1]

\cot^{2} A (\cot^{2} A + 1)

Did you find an error?

5. Exemplar - Prove the given identities