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

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

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1=sqrt(3)sin(x)

1 = 3 sin (x)

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

Solution steps

1 = 3 sin (x)

Switch sides

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

\frac{sin ( 11 5 ^{\circ} )}{20} = \frac{sin ( B )}{15}

3 tan (θ) + 1 = 2 tan (θ)

cos (x) = \frac{18}{25}

sin (x) = - \frac{2}{2}, - π \leq x \leq π

w, s (t) = A e^{- c t} cos (wt + b)

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