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Rewrite sin (x+5Pi/6) in terms of sin x and cos x

User ShadeMe
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1 Answer

4 votes

Answer:

Step-by-step explanation:

Given the trigonometric expression:


\sin \mleft(x+(5\pi)/(6)\mright)

Recall the addition formula for sine below:


\sin (A+B)=\sin A\cos B+\cos A\sin B

Therefore:


\sin \mleft(x+(5\pi)/(6)\mright)=\sin x\cos \mleft((5\pi)/(6)\mright)+\cos x\sin \mleft((5\pi)/(6)\mright)

Next, we can evaluate the trig functions possible:


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