Question

In a unit circle, ø = 2pi radians What is the terminal point?

A. (0,1).
B. (0, -1)
C. (-1,0)
D. (1,0)

Answer 1

The terminal point is (1, 0) ⇒ D

Explanation:

In the unit circle, Ф is the angle between the terminal side and the positive part of the x-xis.

• The terminal point on the positive part of the x-axis is (1, 0),which means Ф = 0° or 360° and cosФ = 1, sinФ = 0

• The terminal point on the positive part of the y-axis is (0, 1),which means Ф = 90° and cosФ = 0, sinФ = 1

• The terminal point on the negative part of the x-axis is (-1, 0),which means Ф = 180° and cosФ = -1, sinФ = 0

• The terminal point on the negative part of the y-axis is (0, -1),which means Ф = 270° and cosФ = 0, sinФ = -1

In a unit circle

∵ Ф = 2π radians

∵ 2π radians = 360°

→ By using the 1st rule above

∴ The terminal point is (1, 0)