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

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Question

Evaluate:

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

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Solution

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

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

`=cos{cos^-1sqrt(1-(7/25)^2)}`

`=cos{cos^-1  24/25}`

`=24/25`

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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 1.1 | Page 58
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