SOLUTION: Hi! If you could show you work for this that would be great.
What is the exact value of sin pi/3 as found on the unit circle?
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-> SOLUTION: Hi! If you could show you work for this that would be great.
What is the exact value of sin pi/3 as found on the unit circle?
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Question 1064795: Hi! If you could show you work for this that would be great.
What is the exact value of sin pi/3 as found on the unit circle? Found 3 solutions by Alan3354, KMST, ikleyn:Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! As you know the circumference of a circle of radius R is .
For a , it would be .
So is the length of the unit circle circumference,
and the measure, in radians of the angle
that is a whole sweep around the unir circle.
Half of that, , is the measure of the angle that you know as ,
and in radians corresponds to .
Think of triangle with three angles.
It is an equilateral triangle.
Here is such a triangle inside the unit circle: Its altitude is ,
or (if we measure angles in radians) .
The altitude divides the equilatetal triangle
into 2 right triangles.
The measure of the legs of those right trianglrs
are and .
The hypotenuse measures .
According to the Pythagorean theorem, .
So, .
