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The value of the expression (cos–1x)2 is equal to sec2x. - Mathematics

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Question

The value of the expression (cos–1x)2 is equal to sec2x.

Options

  • True

  • False

MCQ
True or False
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Solution

This statement is False.

Explanation:

We know that `cos^-1x = sec^-1 (1/x) ≠ sec x`

So `(cos^-1x)^2 ≠ sec^2x`

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Chapter 2: Inverse Trigonometric Functions - Exercise [Page 40]

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NCERT Exemplar Mathematics [English] Class 12
Chapter 2 Inverse Trigonometric Functions
Exercise | Q 50 | Page 40
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