Question

Which statement is correct about the period of the function y = sin x?

A) There are 180° in a unit circle, so the period is 180°

B) There are 180° in a unit circle, so the period is 360°

C) There are 360° in a unit circle, so the period is 180°

D) There are 360° in a unit circle, so the period is 360°

Answer 1

C

Explanation:

The function sine of 'x' repeats its value after a full rotation of π radians. In degrees, that would be 180 degrees. On a unit circle, the sine is the y-component at any point along the circumference of the circle. In the first two quadrants, the y-component is the exact same until you exceed a rotation of 180 degrees. The degree of a circle is 360 degrees, therefore the answer would be C.