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Evaluate the Following: `Cot(Cos^-1 3/5)`

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Question

Evaluate the following:

`cot(cos^-1  3/5)`

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Solution

`cot(cos^-1  3/5)=cot{tan^-1  sqrt(1-(3/5)^2)/(3/5)}`    `[thereforecos^-1x=tan^-1  (sqrt(1-z^2)/x)]`

`=cot(tan^-1  (4/5)/(8/17))`

`=cot(cot^-1  3/4)`

`=3/4`

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Chapter 3: Inverse Trigonometric Functions - Exercise 4.08 [Page 54]

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R.D. Sharma Mathematics Volume 1 and 2 [English] Class 12
Chapter 3 Inverse Trigonometric Functions
Exercise 4.08 | Q 1.8 | Page 54
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