Point on the unit circle

Question

Find point on the unit circle. No trig functions in answers

t=3pi

T=-25pi/2

Answer 1

Step 1:

(1)

Find the point on the unit circle at .

Since, is a real number.

Let mark of a distance along a unit circle, starting point at and moving in

a counterclockwise direction if is positive or in a clockwise direction if is negative.

Thus the point is on the unit circle and it is called as a terminal point.

Hence, is a counterclockwise direction if is positive and the terminal point is .

Graph the unit circle at .

Observe the graph:

The unit circle is completed at terminal point is .

(2)

Find the point on the unit circle at .

Since, is a clockwise direction if is negative and the terminal point is .

Graph:

Observe the graph:

The unit circle is completed at terminal point is .

Solution:

At terminal point is .

At terminal point is .