Question

find cosc
options: 16/34, 34/16, 30/34, 16/30

Explanation:

Step1: Recall the cosine formula

In a right - triangle, $\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}$.

Step2: Identify the sides for angle $C$

For angle $C$, the adjacent side is $BC = 16$ and the hypotenuse is $AC=34$.

Step3: Calculate $\cos C$

Using the formula $\cos C=\frac{BC}{AC}$, substituting $BC = 16$ and $AC = 34$, we get $\cos C=\frac{16}{34}$.

Answer:

$\frac{16}{34}$