Asked by isla
find all solutions to 4tanθ + √3 = tanθ
Answers
Answered by
Reiny
4tanθ + √3 = tanθ
3tanØ = -√3
tanØ = -√3/3
Ø must be in II or IV
Ø = 150° or 330°
or
Ø = 5π/6 or 11π/6
period of tanØ = 90°
general solutions:
=(150+90k)° or 330° +90k°
do the same with the radian answer by adding πk/2 to each of the answers
3tanØ = -√3
tanØ = -√3/3
Ø must be in II or IV
Ø = 150° or 330°
or
Ø = 5π/6 or 11π/6
period of tanØ = 90°
general solutions:
=(150+90k)° or 330° +90k°
do the same with the radian answer by adding πk/2 to each of the answers
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.