Question

a ray from the positive x-axis is rotated -270 degrees. what is the cosine of the angle formed by this ray? (1 point)
○ 0
○ 1
○ -1
○ \\(\frac{1}{2}\\)

Explanation:

Step1: Simplify the angle

A negative angle means rotation clockwise. So, rotating -270° is the same as rotating 360° - 270° = 90° counter - clockwise (or we can also think of - 270°+360° = 90°). So the angle formed is equivalent to 90°.

Step2: Recall the cosine of 90°

We know from the unit circle or trigonometric ratios that $\cos(90^{\circ}) = 0$.

Answer:

0 (corresponding to the option "0")