Question

Find cosθ, tanθ, and cscθ, where θ is the angle shown in the figure.
Give exact values, not decimal approximations.

Answer 1

Answer:

Cos(θ) = 7/√58 ; Tan(θ) = 3/7 ; Csc(θ) = √58/3

Step-by-step explanation:

First, let's solve for the hypotenuse by using the Pythagorean Theorem.

a² + b² = c²

⇒ 7² + 3² = c²

⇒ 49 + 9 = c²

⇒ 58 = c²

⇒ √58 = c

Now that we know the hypotenuse is √58, we can solve for the trig ratios.

Cos(θ) = adjacent/hypotenuse = 7/√58

Tan(θ) = opposite/adjacent = 3/7

Csc(θ) = hypotenuse/opposite = √58/3