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State whether the following equation has a solution or not? 2sinθ = 3 - Mathematics and Statistics

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Question

State whether the following equation has a solution or not?

2sinθ = 3

Sum
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Solution

2sinθ = 3

∴ sinθ = `(3)/(2)`

This is not possible because – 1 ≤ sinθ ≤ 1 for any θ.

∴ 2 sinθ = 3 does not have any solution.

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Chapter 3: Trigonometric Functions - Exercise 3.1 [Page 75]

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