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Find the value of x, if sin x = sin 60° cos 30° + cos 60° sin 30° - Mathematics

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Question

Find the value of x, if sin x = sin 60° cos 30° + cos 60° sin 30°

Sum

Solution

sin x = sin 60° cos 30° + cos 60° sin 30°

sin x = `(sqrt3/2)(sqrt3/2) + (1/2)(1/2)`

sin x = `3/4 + 1/4 = 1 = sin 90^circ`

Hence, x = 90°

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Chapter 21: Trigonometrical Identities - Exercise 21 (C) [Page 329]

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Selina Mathematics [English] Class 10 ICSE
Chapter 21 Trigonometrical Identities
Exercise 21 (C) | Q 7.2 | Page 329
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