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The value of tan2 (sec–12) + cot2 (cosec–13) is ______. - Mathematics

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Question

The value of tan2 (sec–12) + cot2 (cosec–13) is ______.

Options

  • 5

  • 11

  • 13

  • 15

MCQ
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Solution

The value of tan2 (sec–12) + cot2 (cosec–13) is 11.

Explanation:

tan2 (sec–12) + cot2 (cosec–13) = sec2 (sec–12) – 1 + cosec2 (cosec–13) – 1

= 22 × 1 + 32 – 2

= 11.

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Chapter 2: Inverse Trigonometric Functions - Solved Examples [Page 35]

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NCERT Exemplar Mathematics [English] Class 12
Chapter 2 Inverse Trigonometric Functions
Solved Examples | Q 41 | Page 35
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