Question

Solve the equation for \[0\le \theta <2\pi \] . Write your answer as a multiple of \[\pi \] :
\[5\tan \left(\theta \right)=6-\tan \left( \theta \right) \]

Answer 1

6 tan theta = 6
tan theta = 1
use your calculator to find angle whose tangent is 1
set it to radians
it will give you the angle in first quadrant
the tangent is also positive in 3rd quadrant

Answer 2

how do you put tan (theta) on a calculator? or is that possible?

Answer 3

press 1key then press the key labelled 'tan-1' or arctan'