Question

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

Answer 1

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: