Question

Given cosine of x is equal to negative square root of 3 over 2 comma what is the value of cos(x π)?

Answer 1

Value of cos(x+π) = $\bold{\frac{\sqrt{3} }{2}}$

Given cosine of x = $-\frac{\sqrt{3} }{2}$

i.e., cos(x) =  $-\frac{\sqrt{3} }{2}$

Also cos($\frac{\pi}{6}$) =  $\frac{\sqrt{3} }{2}$. So x = $\frac{\pi}{6}$.

We need to find cos(x+π) = cos($\frac{7\pi}{6}$).

But its value is not easy to find. So we use trigonometric formulas.

We have the trigonometric formula, cos (x+π) = - cos(x) = -  $-\frac{\sqrt{3} }{2}$ =  $\bold{\frac{\sqrt{3} }{2}}$

Cos(x+π) lies in the 3rd quadrant. So there cosine has negative values. That is why, cos (x+π) = - cos(x).

Learn more about Cos(x+π) trigonometric formula at brainly.com/question/12243383

#SPJ4