Need to find all solutions of this

Book says

But its and

So shouldnt the reference angle ( ) be in every quadrant?

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- Oct 20th 2009, 01:05 PMDjaevelBasic trig
Need to find all solutions of this

Book says

But its and

So shouldnt the reference angle ( ) be in every quadrant? - Oct 20th 2009, 01:23 PMpickslides
The question implies you need to find what angles will give a positive solution for x. Only the 1st and 3rd quadrants have a positive answer for x so you need to find these.

Using the symmerty identities (keeping in mind that tan has the preiod of ) the solutions for one revolution of the unit circle will be

All solutions are found then by mulitplying through these soultions into every other revolution of the circle.

So