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Tamil Nadu Board of Secondary EducationHSC Science Class 12

Choose the correct alternative: sin(tan–1x), |x| < 1 is equal to

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Question

Choose the correct alternative:

sin(tan–1x), |x| < 1 is equal to

Options

  • `x/sqrt(1 - x^2)`

  • `1/sqrt(1 - x^2)`

  • `1/sqrt(1 + x^2)`

  • `x/sqrt(1 + x^2)`

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Solution

`x/sqrt(1 + x^2)`

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Chapter 4: Inverse Trigonometric Functions - Exercise 4.6 [Page 168]

APPEARS IN

Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 12 TN Board
Chapter 4 Inverse Trigonometric Functions
Exercise 4.6 | Q 20 | Page 168

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