1.

Find the principal solution of equations :(ii)sec x=2

Answer»

secx=2

⇒ cos x = 1/2

cos x = cosπ/3

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

We have x = 2nπ-π/ 3

The solutions that lie in the interval 0 to 2π, both included are principal solution

So they are , in this case ,

π/3, 2π-π/ 3 = 5π/ 3



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