What is the general solution for sqrt(2)sec(4x)-2=0 ?

The general solution for sqrt(2)sec(4x)-2=0 is x= pi/(16)+(pin)/2 ,x=(7pi}{16}+\frac{pin)/2

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sqrt(2)sec(4x)-2=0

2 sec (4 x) - 2 = 0

x = \frac{π}{16} + \frac{πn}{2}, x = \frac{7 π}{16} + \frac{πn}{2}

Solution steps

2 sec (4 x) - 2 = 0

Move

2

to the right side

2 sec (4 x) = 2

Divide both sides by

2

sec (4 x) = 2

General solutions for

sec (4 x) = 2

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

Solve

4 x = \frac{π}{4} + 2 πn : x = \frac{π}{16} + \frac{πn}{2}

Solve

4 x = \frac{7 π}{4} + 2 πn : x = \frac{7 π}{16} + \frac{πn}{2}

x = \frac{π}{16} + \frac{πn}{2}, x = \frac{7 π}{16} + \frac{πn}{2}

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What is the general solution for sqrt(2)sec(4x)-2=0 ?
The general solution for sqrt(2)sec(4x)-2=0 is x= pi/(16)+(pin)/2 ,x=(7pi}{16}+\frac{pin)/2