What is the general solution for 3sqrt(2)+6sin(x)=0 ?

The general solution for 3sqrt(2)+6sin(x)=0 is x=(5pi)/4+2pin,x=(7pi)/4+2pin

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3sqrt(2)+6sin(x)=0

32 + 6 sin (x) = 0

x = \frac{5 π}{4} + 2 πn, x = \frac{7 π}{4} + 2 πn

Solution steps

32 + 6 sin (x) = 0

Move

32

to the right side

6 sin (x) = - 32

Divide both sides by

6

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

General solutions for

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

x = \frac{5 π}{4} + 2 πn, x = \frac{7 π}{4} + 2 πn

5 tan (θ) = 4

3 sec (θ) + 5 = - 1

csc (x) + 1 = cot (x)

3 sin (2 θ) - 2 sin (θ) = 0

3 csc (\frac{π}{2} x) = 2

What is the general solution for 3sqrt(2)+6sin(x)=0 ?
The general solution for 3sqrt(2)+6sin(x)=0 is x=(5pi)/4+2pin,x=(7pi)/4+2pin