What is the general solution for sqrt(3)sin(x)+1=0 ?

The general solution for sqrt(3)sin(x)+1=0 is x=-0.61547…+2pin,x=pi+0.61547…+2pin

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sqrt(3)sin(x)+1=0

3 sin (x) + 1 = 0

x = - 0.61547 \dots + 2 πn, x = π + 0.61547 \dots + 2 πn

Solution steps

3 sin (x) + 1 = 0

Move

1

to the right side

3 sin (x) = - 1

Divide both sides by

3

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

Apply trig inverse properties

x = arcsin (- \frac{3}{3}) + 2 πn, x = π + arcsin (\frac{3}{3}) + 2 πn

Show solutions in decimal form

x = - 0.61547 \dots + 2 πn, x = π + 0.61547 \dots + 2 πn

sin (y) = \frac{1}{2}

tan (2 θ) = 2.93

cot (θ + 1) csc (θ - 1) = 0

sin (a) = 0.9455

x, \frac{sin ( x )}{5} = \frac{sin ( 12 5 ^{\circ} )}{20}

What is the general solution for sqrt(3)sin(x)+1=0 ?
The general solution for sqrt(3)sin(x)+1=0 is x=-0.61547…+2pin,x=pi+0.61547…+2pin