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

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

Sum

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 = 1/2 = sin30^circ`

Hence, x = 30°

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