Given :
[tex]sec^2\ x + 2sec\ x = 0[/tex]
To Find :
All real value solution of given equation.
Solution :
Simplifying given equation, we get :
sec x( sec x + 2 ) = 0
sec x = 0 and (sec x + 2) = 0
For, sec x = 0 :
x = not defined.
For, (sec x + 2) = 0 :
cos x = -1/2
x = cos⁻¹( -1/2 ) = 2π/3
Therefore, general solution is ( 2nπ ± 2π/3 ), n ∈ Z⁺ .
