Question

If tan x=1/3 ,x lies in the fourth quadrant

Answer 1

Answer:

0.9486

Step-by-step explanation:

As per the question,

That value of tan x = 1/3 = 0.33

Since it is given that x lies in the fourth quadrant,

And we know that only cos x and sec x is positive in the fourth quadrant.

Now,

Formula for cos x in terms of tan x :

$cosx = \frac{+1}{\sqrt{1+tan^{2}x}}$

By putting the value of tan x, we get

$cosx = \frac{1}{\sqrt{1+(\frac{1}{3})^{2}}}$

$cosx=\frac{3}{\sqrt{10}}$

$cosx = 0.9486$

Hence, the required value of cos x = 0.9486