Respuesta :

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

Answer:

x = 0.5

Step-by-step explanation:

Given:Expression [tex]\tan x=\frac{3}{5}[/tex]  

We have to solve for x.

Consider the given expression [tex]\tan x=\frac{3}{5}[/tex]  

Taking inverse both sides, we have,

[tex]\tan^{-1}(\tan x)=\tan^{-1}(\frac{3}{5})[/tex]

also, [tex]\tan^{-1}(\tan x)=x[/tex]

Then , [tex]x=\tan^{-1}(\frac{3}{5})[/tex]

Also, [tex]\tan^{-1} \left(\frac{3}{5}\right)=0.54042\dots[/tex]

Thus, [tex]x=0.54042\dots[/tex]

To the nearest tehth, we have,

x = 0.5

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