Given that $\sin x=-\dfrac{5}{13}$ and $180{}^\circ

Question

Given that $\sin x=-\dfrac{5}{13}$ and $180{}^\circ<x<270{}^\circ$, find the exact value of each of the following. $\cos x$ $\tan x$ $\operatorname{cosec} x$ $\cos(-x)$

Accepted Answer

(a) $-\frac{12}{13}$ (b) $\frac{5}{12}$ (c) $-\frac{13}{5}$ (d) $-\frac{12}{13}$

Exact ratios from sine in the third quadrant

Exact ratios from sine in the third quadrant

Video Solution:

Solution:

Solution locked