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Evaluate: `Tan{Cos^-1(-7/25)}`

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Question

Evaluate:

`tan{cos^-1(-7/25)}`

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Solution

`tan{cos^-1(-7/25)}=tan{cos^-1(pi-7/25)}`

`=-tan{cos^-1(7/25)}`

`=-tan{tan^-1[sqrt(1-(7/25)^2)/(7/25)]}`

`=-tan{tan  24/7}`

`=-24/7`

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Chapter 3: Inverse Trigonometric Functions - Exercise 4.09 [Page 58]

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R.D. Sharma Mathematics Volume 1 and 2 [English] Class 12
Chapter 3 Inverse Trigonometric Functions
Exercise 4.09 | Q 2.1 | Page 58
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