Question

If cos x = 4/6, then tan x is equal to​

Answer 1

Answer:

tan x = √5 / 2

Step-by-step explanation:

we know that,

sin^2 x + cos^2 x = 1

sin^2 x + (4/6)^2 = 1

sin^2 x = 1 - (4/9)

sin x =√(5/9)

sin x = √5 / 3

tan x = sin x / cos x

hence

tan x = (√5 / 3) / (4/6)

tan x = √5 / 3 × 6/4

tan x = √5 / 2