What is the general solution for 6cos(x)=-3sqrt(2) ?

The general solution for 6cos(x)=-3sqrt(2) is x=(3pi)/4+2pin,x=(5pi)/4+2pin

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6cos(x)=-3sqrt(2)

6 cos (x) = - 32

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

Solution steps

6 cos (x) = - 32

Divide both sides by

6

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

cos (x) = \frac{7}{12}

5 tan (x) + 3 = 4 (1 + tan (x))

cos (x) + 2 = 3

9 sin (b) + 3 = 5 sin (b) + 1

4 tan (x) + 2 sin (x) cos (x) = 0

What is the general solution for 6cos(x)=-3sqrt(2) ?
The general solution for 6cos(x)=-3sqrt(2) is x=(3pi)/4+2pin,x=(5pi)/4+2pin