Question

Cos 5П/3

Answer 1

cos5П/3=cos(6П/3-П/3)=cos(2П-П/3)=cos(П/3)=1/2

Answer 2

Using the unit circle, we can visualize the angle 5π/3 as starting at the positive x-axis and rotating clockwise by 300 degrees or 5/3 of a full revolution.

To find cos(5π/3), we can look at the x-coordinate of the point on the unit circle that corresponds to this angle.

Since the angle starts on the positive x-axis and rotates clockwise, it ends at the point (-1/2, -√3/2) on the unit circle.

Therefore, cos(5π/3) = -1/2.