find the principle and general solution of secx=2

Asked by  | 7th Oct, 2008, 05:07: PM

Expert Answer:

secx=2

⇒ cos x = 1/2

cos x = cos pi/3

Using formula for  general soluton of cos x = cos y  i.e x = 2n pi  y

We have x = 2n pi  pi/ 3

The solutions that lie in the interval 0 to 2 pi , both included are principal sol

So they are ,  in this case ,

pi/3, 2 pi- pi/ 3 = 5pi/ 3

Answered by  | 8th Oct, 2008, 05:08: PM

Queries asked on Sunday & after 7pm from Monday to Saturday will be answered after 12pm the next working day.