Question

what is the principle solution for sec tetha =2 / ✓3​

Answer 1

Answer:

Firstly u have to know what principle and general solution are.

So you will come to know that principle solution is the solution for x for which, 0≤x<2π 0≤x<2π

Given equation is

secx=2/√3Then it is only possible for x=π6 x=π6 and11π6, 11π6, when 0≤x<2π 0≤x<2π

Or

We know that when cos x is not 0, we can write sec x = (1/cos x).

sec x = 2/sqrt(3)

So cos x = sqrt(3)/2

This, we know comes at x = 60 degrees. And is repeated every ( 360n +(or -) 60) degrees. But we need the principal solution. For cos x, the principal value lies between 0 to 180 degrees. So, the principal solution is 60 degrees.