Find cosθ, secθ, and cotθ, where θ is the angle shown in the figure.

Question

cosθ =



secθ =

cotθ =

the hypotenuse side is 9

the other side is 4

the base is empty

the θ is at the bottom between the hypotenuse and base

Give exact values, not decimal approximations. 

Answer 1

Hypotenuse = 9

Leg = 4

Let "x" be the length of the base of the right triangle.

x = √(81 - 16) = √65

cos(θ) = √65/9 ≅ 0.8958

sec(θ) = 1/cos(θ) = 9/√65 ≅ 1.1163

cot(θ) = √65/4 ≅ 2.0156