Tangent Function

Question

Let h=90 (hypotenuse side) and ℓ=22(opposite side from tan(θ). Find tan(θ) in the triangle below and leave your answer in exact form. does not provide adjacent side of triangle and is a right triangle.

 

 

Answer 1

You have enough information to find sinθ.

 

sinθ = l/h = 22/90

 

Next, find cosθ from

 

cosθ = √(1 - sin²θ) = √[1 - (22/90)²]

 

Finally,

 

tanθ = sinθ/cosθ = (22/90) / √[1 - (22/90)²]