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Express the following as a sum or differencesin 5θ sin 4θ

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प्रश्न

Express the following as a sum or difference
sin 5θ  sin 4θ

बेरीज
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उत्तर

sin 5θ  sin 4θ

We know 

sin A sin B = `1/2`[cos(A – B) – cos(A + B)]

Take A = 5θ, B = 4θ

sin 5θ . sin 4θ = `1/2`[cos(5θ – 4θ) – cos(5θ + 4θ)]

sin 5θ . sin 4θ = `1/2`[cos θ – cos 9θ]

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Trigonometric Functions and Their Properties
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 3: Trigonometry - Exercise 3.6 [पृष्ठ १२१]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
पाठ 3 Trigonometry
Exercise 3.6 | Q 1. (v) | पृष्ठ १२१

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