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  4. The value of cot [cos-1 ((7/25))] is

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Q. The value of $cot \left[cos^{-1} \left(\frac{7}{25}\right)\right]$ is

Inverse Trigonometric Functions

Solution:

$ cot \left(cos^{-1} \left(\frac{7}{25}\right)\right)$
$= cot\left( cot^{-1} \left(\frac{7}{24}\right)\right) = \frac{7}{24}$