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State whether the following equation have solution or not? 3 tanθ = 5 - Mathematics and Statistics

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Question

State whether the following equation have solution or not?

3 tanθ = 5

Sum

Solution

3 tanθ = 5
∴ tanθ = `(5)/(3)`
This is possible because tanθ is any real number.
∴  3 tanθ = 5 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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