Question

DUE TODAY PLEASE HELP!!!!

Angle Θ, measured in radians, satisfies cos(Θ) = 0. What could the value of Θ be? Select all that apply.

a
0
b
π/4
c
π/2
d
π
e
3π/2

Answer 1

Explanation:

sine and cosine have a full cycle every 180° or pi (as the full circle is 360° or 2pi).

cosine starts with the value 1 (for theta = 0), goes to 0 for 90° or pi/2, then to -1 for 180° or pi, then again to 0 for 270° or 3pi/2. and back to 1 for 360° or 2pi.

and the next cycle begins ...

so,

cos(theta) = 0 for

theta = pi/2 and 3pi/2