Question

How to solve this ?
to find the value of tan x if cos x=1/5

Answer 1

-2√6.

Explanation:

sin^2 x = 1 - (1/5)^2

= 24/25

sin x = +/-√24/5

tan x = sin x / cos x

= +/- √24/5 / 1/5

= +/-√24

As angle x is in the 4th quadrant the tan is negative, so:

tan x = -√24

= -2√6.