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The value of sin (2 sin–1 (.6)) is ______. - Mathematics

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Question

The value of sin (2 sin–1 (.6)) is ______.

Options

  • .48

  • .96

  • 1.2

  • sin 1.2

MCQ
Fill in the Blanks

Solution

The value of sin (2 sin–1 (.6)) is .96.

Explanation:

Let sin–1 (.6) = θ

i.e., sin θ = .6

Now sin (2θ) = 2

sinθ cosθ = 2 (.6) (.8)

= .96

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Chapter 2: Inverse Trigonometric Functions - Solved Examples [Page 33]

APPEARS IN

NCERT Exemplar Mathematics [English] Class 12
Chapter 2 Inverse Trigonometric Functions
Solved Examples | Q 35 | Page 33

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