Question

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

Answer 1

Step-by-step explanation:

please mark as brainliest if you understand ☺️

Answer 2

Answer:

The value of tan x is $\sqrt{5}$/2.

Step-by-step explanation:

Given that;

cos x = 2/3

sec x = 3/2  (sec x is the reciprocal of cos x)                (sec x = 1/cos x)

We know that,

Using the basic trigonometric identities;

1 + $tan^{2} x$ = $sec^{2}x$

⇒$tan^{2}x$ = $sec^{2}x$ - 1

⇒$tan^{2}x$ = $(\frac{3}{2} )^{2}$ - 1 = 9/4 - 1 = 5/4

So, the value of tan x =  $\sqrt{5}$ / 2.

#SPJ3