Question

Find the value of x. round your answer to the nearest tenth. tan x=3/5

Answer 1

Answer:

x = 0.5

Step-by-step explanation:

Given:Expression $\tan x=\frac{3}{5}$  

We have to solve for x.

Consider the given expression $\tan x=\frac{3}{5}$  

Taking inverse both sides, we have,

$\tan^{-1}(\tan x)=\tan^{-1}(\frac{3}{5})$

also, $\tan^{-1}(\tan x)=x$

Then , $x=\tan^{-1}(\frac{3}{5})$

Also, $\tan^{-1} \left(\frac{3}{5}\right)=0.54042\dots$

Thus, $x=0.54042\dots$

To the nearest tehth, we have,

x = 0.5

Answer 2

Arctan(3/5) ≈ 0.5 . . . . . radians
.. ≈ 31.0 . . . . . . . . . . . . . degrees