Unit Circle


On the unit circle, tangent = y/x. It is positive in quad I and III, and is negative in quad II and IV.

Problem 1 (easy): Given the coordinates (-1/2, √3/2), find the tangent of the angle.

Problem 2 (medium): find the value of theta in degrees and radians without a calculator.
tan(theta) = √3

Probelm 3 (hard): Use the given fuction value to find the indicated function value.
sin60 degrees = (√3/2), cos60 degrees = (1/2)
tan60 degrees = ?
sin30 degrees = ?

Problem 4 (applied): A tourist can see a 200 ft. tall building, the top of which makes an angle of 60 degrees above the horizontal. how far away is she from the building?