Question

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

Answer 1

`√(3)`

Explanation:

It just is

Answer 2

√3

Explanation:

cot²(θ) = csc²(θ) -1 . . . . . a relevant identity

= 1/sin²(θ) -1

= (1/(1/2))² -1 = 2² -1 = 3

Then ...

cot(θ) = √3 . . . . . . . . take the square root