Question

Given cos x = -1/5 and x is in the third quadrant, match the trigonometric ratios with their respective values

tiles: (sin x)(-5/2sqrt6)(tan x)(1/2sqrt6)(csc x)(-2sqrt6/5)(sec x)(2sqrt6)(cot x)

Answer 1

The anwers were correct! Thanks to the other guy! :D

Explanation:

Answer 2

First, we solve for x. Considering that it is in third quadrant, the value of x should be, 258.46°.
(1) sin 258.46° = -0.98 = -2sqrt6/5
(2) tan 258.46° = 4.90 = 2sqrt6
(3) csc 258.46° = 1/sin 258.46° = -1.02 = -5/2sqrt6
(4) sec 258.46° = 1/cos 258.46° = -5
(5) cot 258.46° = 1/tan 258.46° = 0.20 = 1/2sqrt6