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State whether the statement is True or False? Also give justification. The equality sinA + sin2A + sin3A = 3 holds for some real value of A. - Mathematics

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Question

State whether the statement is True or False? Also give justification.

The equality sinA + sin2A + sin3A = 3 holds for some real value of A.

Options

  • True

  • False

MCQ
True or False

Solution

This statement is False.

Explanation:

Given that: sinA + sin2A + sin3A = 3

Since the maximum value of sin A is 1 but for sin 2A and sin 3A it is not equal to 1.

So it is not possible.

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Chapter 3: Trigonometric Functions - Exercise [Page 60]

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NCERT Exemplar Mathematics [English] Class 11
Chapter 3 Trigonometric Functions
Exercise | Q 69 | Page 60

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