Question

PLEASE HELPPPP

Answer 1

Cosine is a trigonometric function. The value of cos(x+π), when the value of cos(x)=-(√3)/2 is √3/2. The correct option is A.

What is a cosine?

Cosine is the trigonometric function equal to the ratio of the side next to an acute angle to the hypotenuse in a right-angled triangle.

Given the value of cos(x)=-(√3)/2, therefore, the value of x can be written as,

cos(x) = -(√3)/2

(x) = cos⁻¹ [-(√3)/2]

x = 5π/6 = 150°

Now, the value of cos(x+π) will be,

cos(x+π)

= cos[(5π/6)+π]

= cos(11π/6)

= √3 / 2

Hence, the value of cos(x+π), when the value of cos(x)=-(√3)/2 is √3/2.

Learn more about Cosine function here:

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Answer 2

You needn't to find x

• There is a formula of cos(x+π)

Given

cosx=-√3/2

The formula states

$\boxed{\sf cos(x+\pi)=-cosx}$

So here

• cos(x+π)
• -cosx
• -(-√3/2)
• √3/2

Option A