How do you determine the exact coordinates of a point on the terminal arm of the angle in standard position given 60 degrees?

1 Answer
Daniel L.
May 1, 2017

See explanation.

Explanation:

There are infinitely many such points, so to pick one you have to choose a value for the radius #r#. It is the easiest to choose #1# as the radius.

If you choose the radius, then the point's coordinates can be calculated as:

#{(x=r*cosvarphi),(y=r*sinvarphi):}#

If you substitute the numbers you get:

#{(x=1*cos60),(y=1*sin60):}#

#{(x=1/2),(y=sqrt(3)/2):}#

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