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Question Number 31548 by de best last updated on 10/Mar/18

s i m p l i f y c o s x + \sqrt{3} s i n x a s a

s i n g l e t r i g o n o m e t r y r a t i o

Answered by $@ty@m last updated on 10/Mar/18

\cos x + \sqrt{3} \sin x

= 2 (\frac{1}{2} \cos x + \frac{\sqrt{3}}{2} \sin x)

= 2 (\sin 30 \cos x + \cos 30 \sin x)

= 2 \sin (x + 30)

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