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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.
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