Question

Trigonometry
Trigonometric Functions
Given: Sin θ = (5/6), Find: Cot θ

Answer 1

cotθ =
`√(11)`
`/ 5`

Explanation:

sine = opposite / hypotenuse

cotangent = adjacent / opposite

So first we have to solve for the adjacent side b, using pythagorean theorem

`a^(2) +b^(2) =c^(2)`

`5^(2) +b^(2) =6^(2)`

`25 + b^(2) = 36`

`b^(2) = 11`

`b = √(11)`

cotangent = adjacent / opposite

cotθ =
`√(11)`
`/ 5`