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State whether the following equation has a solution or not? 3 sin θ = 5 - Mathematics and Statistics

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प्रश्न

State whether the following equation has a solution or not?

3 sin θ = 5

बेरीज
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उत्तर

3 sin θ = 5

Dividing both sides by 3: `sintheta = 5/3`

The value of sin⁡θ always lies between −1 and +1 for real angles.

But here, sin⁡θ = `5/3` ≈ 1.666, which is greater than 1.

Since sin⁡θ cannot be greater than 1

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Trigonometric Equations and Their Solutions
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 3: Trigonometric Functions - Miscellaneous exercise 3 [पृष्ठ १०९]

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बालभारती Mathematics and Statistics 1 (Arts and Science) [English] Standard 12 Maharashtra State Board
पाठ 3 Trigonometric Functions
Miscellaneous exercise 3 | Q 3.4 | पृष्ठ १०९

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