Solve the equation for all real values of x. sec2x + 2secx = 0
1 answer:
Given :
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⁺ .
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