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State whether the following equation has a solution or not? cos 2θ = 13 - Mathematics and Statistics

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Question

State whether the following equation has a solution or not?

cos 2θ = `1/3`

Sum

Solution

cos 2θ = `1/3`

since `1/3 <= cos theta <= 1` for any θ

cos 2θ = `1/3` has solution. 

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Chapter 3: Trigonometric Functions - Miscellaneous exercise 3 [Page 109]

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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 3.1 | Page 109

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