Question

Given this unit circle what is the value of x

Answer 1

x = -√2/2

Step-by-step explanation

A unit circle is a circle whose radius is 1. Any point on the circle, if we project the coordinates, forms a right triangle with the radius,

The radius is the hypotenuse, and the coordinates of the point are the legs. As we can see, x is to the left of the center, so its value will be negative. However, we can find its magnitude using the Pythagorean theorem,

`1^2=x^2+\mleft(\frac{\sqrt[]{2}}{2}\mright)^2`

Solving for x,

`x=\sqrt[]{1^2-\mleft(\frac{\sqrt[]{2}}{2}\mright)^2}=\frac{\sqrt[]{2}}{2}`

Hence, the value of x is -√2/2