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

The general solution for sec(x)+sqrt(2)=2sqrt(2) is x= pi/4+2pin,x=(7pi)/4+2pin

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sec(x)+sqrt(2)=2sqrt(2)

sec (x) + 2 = 22

x = \frac{π}{4} + 2 πn, x = \frac{7 π}{4} + 2 πn

Solution steps

sec (x) + 2 = 22

Move

2

to the right side

sec (x) = 2

General solutions for

sec (x) = 2

x = \frac{π}{4} + 2 πn, x = \frac{7 π}{4} + 2 πn

2 csc^{2} (x) - 5 csc (x) + 2 = 0

x, sin (x) cos (x) = \frac{1}{2}

sec^{2} (x) + tan^{2} (x) = 1

csc (x) - 2 = 0

sin (θ) = - \frac{68}{9}

What is the general solution for sec(x)+sqrt(2)=2sqrt(2) ?
The general solution for sec(x)+sqrt(2)=2sqrt(2) is x= pi/4+2pin,x=(7pi)/4+2pin