Question

Given the triangle below which of the follwing is a correct statement?

Answer 1

Let Opp Adj, and Hypp respectively represent the opposite side, the adjacent side, and the hypotenuse.

Consider an angle M with measure m degrees. The trigonometric ratios sec, and csc are defined as follows:

sec(m)=Hyp/Adj,     and csc(m)=Hyp/Opp


Thus we can check that 

$\displaystyle{csc(\angle C)= \frac{6}{4}= \frac{3}{2}$

$\displaystyle{sec(\angle C)= \frac{6}{5}$

$\displaystyle{csc(\angle B)= \frac{6}{5}= \frac{3}{2}$

$\displaystyle{sec(\angle C)= \frac{6}{4}=\frac{3}{2}$


Answer: A