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Find all the angles in the interval 0 to 360 degrees that satisfy the following condition. Round theanswer to the nearest hundredth of a degree.tan(x) = 13/25

Sagot :

To find the angles, we first solve the equation:

[tex]\begin{gathered} \tan x=\frac{13}{25} \\ x=\tan ^{-1}(\frac{13}{25}) \\ x=27.47 \end{gathered}[/tex]

Now, since the tangent has a period of 180 this means that, in the interval given, two angles will fullfil the condition given; to find the second angle we just add 180 to the x we found.

Therefore, in the interval from 0 to 360, the angles 27.47 and 207.47 will fulfill the condition given.

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