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

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

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sec(x/2)=sqrt(2)

sec (\frac{x}{2}) = 2

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

Solution steps

sec (\frac{x}{2}) = 2

General solutions for

sec (\frac{x}{2}) = 2

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

Solve

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

Solve

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

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

sin (5 x) = \frac{3}{2}

sin^{2} (θ) - cos^{2} (θ) = - 1

cos^{2} (x) - 4 cos (x) = 0

x, sin (x) + cot (x) cos (x) = \frac{1}{f}

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

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