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Evaluate the Following: `Tan(Cos^-1 8/17)`

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Question

Evaluate the following:

`tan(cos^-1  8/17)`

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Solution

`tan(cos^-1  8/17)=tan{tan^-1  (sqrt(1-(8/17)^2))/(8/17)}`    `[thereforecos^-1x=tan^-1  ((sqrt(1-x^2))/x)]`

`=tan(tan^-1  (15/17)/(8/17))`

`=15/8`

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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 1.7 | Page 54
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