What is the general solution for 3sqrt(2)cos(x)+2=-1 ?

The general solution for 3sqrt(2)cos(x)+2=-1 is x=(3pi)/4+2pin,x=(5pi)/4+2pin

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3sqrt(2)cos(x)+2=-1

32 cos (x) + 2 = - 1

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

Solution steps

32 cos (x) + 2 = - 1

Move

2

to the right side

32 cos (x) = - 3

Divide both sides by

32

cos (x) = - \frac{2}{2}

General solutions for

cos (x) = - \frac{2}{2}

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

\frac{1}{sin ( x ) \cdot cos ( x ) + cos ( x )} = \frac{1}{cos ( x )}

4 = tan^{2} (4 5^{\circ} + \frac{x}{2})

2 sin (5 x) - 1 = 0

cos (x) = \frac{2.3}{2.8}

3000 = 5000 [cos (\frac{π}{45} (t - 6))]

What is the general solution for 3sqrt(2)cos(x)+2=-1 ?
The general solution for 3sqrt(2)cos(x)+2=-1 is x=(3pi)/4+2pin,x=(5pi)/4+2pin