Question

Θ is an acute angle. Find the value of θ in degrees. cot(θ) = 1.

A) 0°
B) 45°
C) 60°
D) 90°

Answer 1

The value of θ in degrees is 45°.

Step-by-step explanation:

To find the value of θ, we need to determine the angle whose cotangent is 1. Cotangent (cot) is the ratio of the adjacent side to the opposite side of a right triangle. In this case, since θ is an acute angle, we can use a 45°-45°-90° triangle, where the two legs are equal. In this triangle, both the adjacent and opposite sides are equal, so cotθ = 1. Therefore, the value of θ is 45°.