Question

I need help with Trig! The picture is attached below. (30 points)

Answer 1

Answer:

Step-by-step explanation:

Cot is the inverse of tan.  Therefore, the ratios are also inverses.  The same goes for csc, which is the inverse of sin.  

The tan ∠B = $\frac{6}{5}$  so the cot ∠B = $\frac{5}{6}$ so the first statement is false.

The sin ∠C = $\frac{5}{8}$  so the csc ∠C = $\frac{8}{5}$ so the second statement is false.

The tan ∠C = $\frac{5}{6}$  so the cot ∠C = $\frac{6}{5}$ so the third statement is false.

The sin ∠B = $\frac{6}{8}$  so the csc ∠B = $\frac{8}{6}$ which reduces to $\frac{4}{3}$ so the last statement is true!