$\frac{\alpha^{3}}{2}cosec^{2}\left( \frac{1}{2} an^{- 1}\ \frac{\alpha}{\beta} ight) + \frac{\beta^{3}}{2}\sec^{2}\left( \frac{1}{2} an^{- 1}\ \left( \frac{\beta}{\alpha} ight) ight)\$is

Question

$\frac{\alpha^{3}}{2}cosec^{2}\left( \frac{1}{2}	an^{- 1}\ \frac{\alpha}{\beta} ight) + \frac{\beta^{3}}{2}\sec^{2}\left( \frac{1}{2}	an^{- 1}\ \left( \frac{\beta}{\alpha} ight) ight)\$is

Dr. Abubacker · Accepted Answer

The correct answer is Option C: $(\alpha + \beta)(\alpha^{2} + \beta^{2})$.

Q. $\frac{\alpha^{3}}{2}cosec^{2}\left( \frac{1}{2}\tan^{- 1}\ \frac{\alpha}{\beta} \right) + \frac{\beta^{3}}{2}\sec^{2}\left( \frac{1}{2}\tan^{- 1}\ \left( \frac{\beta}{\alpha} \right) \right)\$is

Explanation

Reviewed by Dr. Abubacker

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