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State whether the following equation have solution or not? cos 2θ = – 1 - Mathematics and Statistics

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Question

State whether the following equation have solution or not?

cos 2θ = – 1

Sum

Solution

cos 2θ = – 1
Since – 1 ≤ cosθ ≤ 1 for any θ,
cos 2θ = – 1 has 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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