What is the general solution for solvefor x,4sin(x)+2=0 ?

The general solution for solvefor x,4sin(x)+2=0 is x=(7pi)/6+2pin,x=(11pi)/6+2pin

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solvefor x,4sin(x)+2=0

solve for

x, 4 sin (x) + 2 = 0

x = \frac{7 π}{6} + 2 πn, x = \frac{11 π}{6} + 2 πn

Solution steps

4 sin (x) + 2 = 0

Move

2

to the right side

4 sin (x) = - 2

Divide both sides by

4

sin (x) = - \frac{1}{2}

General solutions for

sin (x) = - \frac{1}{2}

x = \frac{7 π}{6} + 2 πn, x = \frac{11 π}{6} + 2 πn

3 = - tan (x)

- tan^{2} (x) - 2 tan (x) - 1 = 0

sin (x) = \frac{4}{6 2}

cos (5 x) = cos (3 x)

2 cos (2 t) = 0

What is the general solution for solvefor x,4sin(x)+2=0 ?
The general solution for solvefor x,4sin(x)+2=0 is x=(7pi)/6+2pin,x=(11pi)/6+2pin