What is the general solution for cos(x)=-3+4/(cos(x)) ?

The general solution for cos(x)=-3+4/(cos(x)) is x=2pin

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cos(x)=-3+4/(cos(x))

cos (x) = - 3 + \frac{4}{cos ( x )}

x = 2 πn

Solution steps

cos (x) = - 3 + \frac{4}{cos ( x )}

Solve by substitution

cos (x) = 1, cos (x) = - 4

cos (x) = 1 : x = 2 πn

cos (x) = - 4 :

No Solution

Combine all the solutions

x = 2 πn

sin (x) + 4 cos (x) + 5 = 0

sec (x) = - 5

sin (2 t - \frac{π}{5}) = - \frac{1}{3}

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

arctan (3 x) + arctan (x) = \frac{π}{4}

What is the general solution for cos(x)=-3+4/(cos(x)) ?
The general solution for cos(x)=-3+4/(cos(x)) is x=2pin