What is the general solution for 3sin(x)=2 ?

The general solution for 3sin(x)=2 is x=0.72972…+2pin,x=pi-0.72972…+2pin

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3sin(x)=2

3 sin (x) = 2

x = 0.72972 \dots + 2 πn, x = π - 0.72972 \dots + 2 πn

Solution steps

3 sin (x) = 2

Divide both sides by

3

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

Apply trig inverse properties

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

Show solutions in decimal form

x = 0.72972 \dots + 2 πn, x = π - 0.72972 \dots + 2 πn

(tan (x) + 1) (3 cot (x) - 1) = 0

x, p + 3 q = z + cot (y - 3 x)

4 sin (x) cos (x) = 0

sin (2 x) sin (x) = 0, 0^{\circ} \leq x \leq 36 0^{\circ}

cot^{2} (x) = csc (x) + 1

What is the general solution for 3sin(x)=2 ?
The general solution for 3sin(x)=2 is x=0.72972…+2pin,x=pi-0.72972…+2pin