Question
Hi, I'm stuck at this question:
List all points on the graph of y=tanx on the interval [-3π/2,2π] that have a y-coordinate of (1/radical3).
This is my answer, but I keep getting it wrong. Someone, please explain how to go about solving this. I have more of similar questions to solve. So, if anyone can please show work + answer so that I can use this example as a reference for others. Thank you.
-My Answers: (5π/6,1/radical3),(11π/6,1/radical3), (17π/6,1/radical3)
List all points on the graph of y=tanx on the interval [-3π/2,2π] that have a y-coordinate of (1/radical3).
This is my answer, but I keep getting it wrong. Someone, please explain how to go about solving this. I have more of similar questions to solve. So, if anyone can please show work + answer so that I can use this example as a reference for others. Thank you.
-My Answers: (5π/6,1/radical3),(11π/6,1/radical3), (17π/6,1/radical3)
Answers
Steve
You did not read the domain carefully, nor did your points meet the requirements.
All of your points are in QII and QIV, where tan(x) = -1/√3
The domain is [-3π/2,2π], and all of your points must lie in QI or QIII, where tan(x) > 0
That would mean that the x-coordinates are
-5π/6, π/6, 7π/6
All of your points are in QII and QIV, where tan(x) = -1/√3
The domain is [-3π/2,2π], and all of your points must lie in QI or QIII, where tan(x) > 0
That would mean that the x-coordinates are
-5π/6, π/6, 7π/6