Find the value — task. Maths CBSE Live product, Class 10 (2026-27).

If \(C\sin^3 A + D\cos^3 A= \sin A \cos A \) and \(C\sin A = D\cos A\), then compute the value of \(C^2 +D ^2\)

Proof:

Given: We have, \(C\sin^3 A+ D\cos^3 A = \sin A \ cos A\) - - - (i)

and \(C\sin A = D\cos A\) - - - (ii)

C i^{3} A + C i A \cos^{2} A = \sin A \cos A

C i A (\sin^{2} A + i^{i} A) = \sin A \cos A

C i A = \sin A \cos A

C = i A

- - - \((iii)\)

Now, substituting \(C\) in \((ii)\)

i A \sin A = D \cos A

This implies that

D = i A

- - - (iv)

From (iii) and (iv),

C^{2} + D^{2} = i

Did you find an error?

8. Find the value