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

The general solution for sqrt(2)sec(x)=-2 is x=(3pi)/4+2pin,x=(5pi)/4+2pin

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sqrt(2)sec(x)=-2

2 sec (x) = - 2

x = \frac{3 π}{4} + 2 πn, x = \frac{5 π}{4} + 2 πn

Solution steps

2 sec (x) = - 2

Divide both sides by

2

sec (x) = - 2

General solutions for

sec (x) = - 2

x = \frac{3 π}{4} + 2 πn, x = \frac{5 π}{4} + 2 πn

cos (a) = \frac{3}{5}

- sin (x) + sin (2 x) = 0

2 sec^{2} (x) + tan (x) - 3 = 0

tan (θ) = \frac{2}{5}, π < θ < \frac{3 π}{2}

sin (2 θ) = 2 sin (θ)

What is the general solution for sqrt(2)sec(x)=-2 ?
The general solution for sqrt(2)sec(x)=-2 is x=(3pi)/4+2pin,x=(5pi)/4+2pin