Question

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

Answer 1

To find the angles, we first solve the equation:

`\begin{gathered} \tan x=(13)/(25) \\ x=\tan ^(-1)((13)/(25)) \\ x=27.47 \end{gathered}`

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.