An acute angle θ is in a right triangle with sin θ = one half. What is the value of cot θ?

Solution:

Given sin θ = one halfs = 1/2

Θ = sin⁻¹(1/2) = 30°

Using the trigonometric identities,

cot θ = cosθ/sinθ

= cos(30°)/ sin(30°)

= (√3/2) / (1/2)

cot θ = √3

An acute angle θ is in a right triangle with sin θ = one half. What is the value of cot θ?

Summary:

If an acute angle θ is in a right triangle with sin θ = one half then.the value of cot θ is √3.