Respuesta :

TaeKwonDoIsDead

Answer:

[tex]x=\frac{1}{2}[/tex]

Step-by-step explanation:

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

[tex]a^2+b^2=1[/tex]

This is a property of the unit circle.

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

[tex]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}[/tex]

So, x = 1/2

facundo3141592

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

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