What is the general solution for sec(3x)=sqrt(2) ?

The general solution for sec(3x)=sqrt(2) is x= pi/(12)+(2pin)/3 ,x=(7pi}{12}+\frac{2pin)/3

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sec(3x)=sqrt(2)

sec (3 x) = 2

x = \frac{π}{12} + \frac{2 πn}{3}, x = \frac{7 π}{12} + \frac{2 πn}{3}

Solution steps

sec (3 x) = 2

General solutions for

sec (3 x) = 2

3 x = \frac{π}{4} + 2 πn, 3 x = \frac{7 π}{4} + 2 πn

Solve

3 x = \frac{π}{4} + 2 πn : x = \frac{π}{12} + \frac{2 πn}{3}

Solve

3 x = \frac{7 π}{4} + 2 πn : x = \frac{7 π}{12} + \frac{2 πn}{3}

x = \frac{π}{12} + \frac{2 πn}{3}, x = \frac{7 π}{12} + \frac{2 πn}{3}

cos (2 θ) + 6 sin^{2} (θ) = 4

sin (\frac{5 π}{6})

cos (- \frac{3 π}{2})

2 cos (x) + tan (x) = sec (x)

sin^{2} (x) = \frac{1}{2}

What is the general solution for sec(3x)=sqrt(2) ?
The general solution for sec(3x)=sqrt(2) is x= pi/(12)+(2pin)/3 ,x=(7pi}{12}+\frac{2pin)/3