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Question: \(\cot \left[ \cos ^ { - 1 } \left( \frac { 7 } { 25 } \right) \right] =\)...

cot⁡[cos⁡−1(725)]=\cot \left[ \cos ^ { - 1 } \left( \frac { 7 } { 25 } \right) \right] =

A

2524\frac { 25 } { 24 }

B

257\frac { 25 } { 7 }

C

2425\frac { 24 } { 25 }

D

None of these

Answer

None of these

Explanation

Solution

cot⁡[cos⁡−1(725)]=cot⁡[cot⁡−1(724)]=724\cot \left[ \cos ^ { - 1 } \left( \frac { 7 } { 25 } \right) \right] = \cot \left[ \cot ^ { - 1 } \left( \frac { 7 } { 24 } \right) \right] = \frac { 7 } { 24 }.