Algebra and Trigonometry page no 476

Question

find the point (x, y) on the unit circle that corresponds to the real number .Use the result to evaluate sin t , cos t and tan t.

Answer 1

A circle with radius 1 and cetered at the origin is called unit circle.

Equation of the unit circle is in the form .

The coordinates of every point on the unit circle is in the form .

Point corresponding to the real number is

Point

Now find using the point

So, Point and , , ,