Question

The point (x, square root of 3/2) is on the unit circle, what is x?

Answer 1

Answer:

$x=\frac{1}{2}$

Step-by-step explanation:

When we have a point (a,b) on the unit circle, we can say that

$a^2+b^2=1$

This is a property of the unit circle.

From the point given  $(x,\frac{\sqrt{3} }{2})$ , now we can write the equation shown below and solve for x:

$x^2+(\frac{\sqrt{3} }{2})^2=1\\x^2+\frac{3}{4}=1\\x^2=1-\frac{3}{4}\\x^2=\frac{1}{4}\\x=\frac{\sqrt{1}}{\sqrt{4} } \\x=\frac{1}{2}$

So, x = 1/2

Answer 2

Answer: x = 1/2

Step-by-step explanation:

We have that the point (x, (√3)/2)) is on the unit circle.

we can define a circle of radius R centered in the (0,0) as:

x^2 + y^2 = R^2

This means that:

x^2 + (√(3)/2)^2 = 1

x^2 + 3/4 = 1

x^2 = 1 - 3/4 = 1/4

x = √(1/4) = 1/2

So we have that x is equal to 1/2