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State whether the following equation have solution or not? 3 tanθ = 5

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प्रश्न

State whether the following equation have solution or not?

3 tanθ = 5

योग
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उत्तर

Yes, it has a solution.

Because tanθ can take any real value, from

3 tanθ = 5 ⇒ tanθ = `5/3`, which is possible

θ = tan−1 `(5/3) + npi,` n ∈ Z

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अध्याय 3: Trigonometric Functions - Exercise 3.1 [पृष्ठ ७५]

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बालभारती Mathematics and Statistics 1 (Arts and Science) [English] Standard 12 Maharashtra State Board
अध्याय 3 Trigonometric Functions
Exercise 3.1 | Q 8.4 | पृष्ठ ७५

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