Question

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

Answer 1

x = 0.5

Explanation:

Given:Expression
`\tan x=(3)/(5)`

We have to solve for x.

Consider the given expression
`\tan x=(3)/(5)`

Taking inverse both sides, we have,

`\tan^(-1)(\tan x)=\tan^(-1)((3)/(5))`

also,
`\tan^(-1)(\tan x)=x`

Then ,
`x=\tan^(-1)((3)/(5))`

Also,
`\tan^(-1) \left((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