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

The general solution for sec(x)-sqrt(2)=0 is x= pi/4+2pin,x=(7pi)/4+2pin

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sec(x)-sqrt(2)=0

sec (x) - 2 = 0

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

2 sin^{4} (x) + sin^{2} (x) - 1 = 0

tan (\frac{x}{9}) + 3 = 0

cos (θ) = \frac{6}{9}

sec (b) = 2

2 sin^{2} (x) - 4 sin (x) = cos^{2} (x) - 2

What is the general solution for sec(x)-sqrt(2)=0 ?
The general solution for sec(x)-sqrt(2)=0 is x= pi/4+2pin,x=(7pi)/4+2pin