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State whether the following equation has a solution or not? cos2θ = – 1. - Mathematics and Statistics

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Question

State whether the following equation has a solution or not?

cos2θ = – 1.

Sum

Solution

cos2θ = – 1

This is not possible because cos2θ ≥ 0 for any θ.

∴ cos2θ = – 1 does not have any solution.

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Trigonometric Equations and Their Solutions
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Chapter 3: Trigonometric Functions - Exercise 3.1 [Page 75]

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Balbharati Mathematics and Statistics 1 (Arts and Science) [English] 12 Standard HSC Maharashtra State Board
Chapter 3 Trigonometric Functions
Miscellaneous exercise 3 | Q 3.2 | Page 109

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