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Evaluate: `Cos(Sec^-1x+Cosec^-1x)`

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Question

Evaluate:

`cos(sec^-1x+\text(cosec)^-1x)`,|x|≥1

Sum
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Solution

`cos(sec^-1x+\text(cosec)^-1x)`

`=cos(pi/2)`         `[thereforesec^-1x+\text(cosec)^-1x=pi/2]`

= 0

 

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Chapter 3: Inverse Trigonometric Functions - Exercise 4.10 [Page 66]

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R.D. Sharma Mathematics Volume 1 and 2 [English] Class 12
Chapter 3 Inverse Trigonometric Functions
Exercise 4.10 | Q 1.5 | Page 66
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