General Solution (1 Viewer)

[wrxsti]

Hey, i was doing this question and i was wondering... is it possible to get 2 General Solutions to one question.....eg)

2(cosx)^2 - 1 =0

i got 2 general solutions.. 2n(pie) +- pie/4
2n(pie) +- 2.356 (approx)

i keep both right...?

Thanks

 

[Zephyrio]

Yup, you can.

Other examples where you have two general solutions is when you solve 2sinxcosx = cosx.

You get x = 360n +/- 90, 180n + (-1)^n 30

 

[webby234]

Hey, i was doing this question and i was wondering... is it possible to get 2 General Solutions to one question.....eg)

2(cosx)^2 - 1 =0

i got 2 general solutions.. 2n(pie) +- pie/4
2n(pie) +- 2.356 (approx)

i keep both right...?

Thanks

Yes, but the second one is actually 2npi +/- 3pi/4.