Question

if cos X = 2/3 then tan x is equal to​

Answer 1

Step-by-step explanation:

√12/3 is the correct answer I hope this answers helpful for you

Answer 2

The value of tan x is √5/2.

Given,

The value of cos x = 2/3.

To Find,

The value of tan x.

Solution,

SInce the value tan x is given

So, using the trigonometric identity

sin²x+cos²x = 1

Putting the value of cos x = 2/3

sin²x+(2/3)² = 1

sin²x = 1-4/9 = 5/9

sin x = √5/3

Now,

tanx = sin x/cos x = (√5/3)/(2/3)

tan x = √5/3*3/2

tan x = √5/2

Hence, the value of tan x is √5/2.