What is the general solution for sec(x)+sqrt(2)=0 ?

The general solution for sec(x)+sqrt(2)=0 is x=(3pi)/4+2pin,x=(5pi)/4+2pin

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sec(x)+sqrt(2)=0

sec (x) + 2 = 0

x = \frac{3 π}{4} + 2 πn, x = \frac{5 π}{4} + 2 πn

Solution steps

sec (x) + 2 = 0

Move

2

to the right side

sec (x) = - 2

General solutions for

sec (x) = - 2

x = \frac{3 π}{4} + 2 πn, x = \frac{5 π}{4} + 2 πn

sin (x) + 1 = 0, 0 \leq x \leq 2 π

sin^{2} (x) + cos (x) - 1 = 0

12 tan (x) + 5 = 5 tan (x) + 5

4 cos (x) + 3 sin (x) = 0

2 sin (4 x) - 1 = 0, 0 < x \leq 2

What is the general solution for sec(x)+sqrt(2)=0 ?
The general solution for sec(x)+sqrt(2)=0 is x=(3pi)/4+2pin,x=(5pi)/4+2pin