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
