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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

उत्तर

∴ sin θ = `5/3`

This is possible because sin θ is any real number.

∴ 3 sin θ = 5 has a solution.

This is not possible because -1 ≤ sin θ ≤ 1 for any θ.

∴ 3 sin θ = 5 does not have any solution.

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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]

APPEARS IN

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

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