Evaluate: (i) cos{sin^(-1)(-7/(25))} (i...

Evaluate: (i) `cos{sin^(-1)(-7/(25))}` (ii) `sec{cot^(-1)(-5/(12))}` (iii) `cot{sec^(-1)(-(13)/5)}`

Text Solution

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Let's evaluate each part step by step. ### (i) Evaluate \( \cos(\sin^{-1}(-\frac{7}{25})) \) 1. **Let \( \theta = \sin^{-1}(-\frac{7}{25}) \)**. - This means \( \sin(\theta) = -\frac{7}{25} \). 2. **Use the Pythagorean identity**: ...

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Knowledge Check

cot[cos^(-1)"7/25]=

A

`25/24`

B

`25/7`

C

`24/25`

D

none of these

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