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

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

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4sin(x)+2=0

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

cot (θ) = 2

tan (t) = \frac{2}{3}

2 sin (x) tan (x) = - tan (x)

cos (2 x) cos (x) - sin (2 x) sin (x) = - \frac{3}{2}

sec (θ) = tan (θ) + cot (θ)

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