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

The general solution for sin(x)=(2sqrt(2))/3 is x=1.23095…+2pin,x=pi-1.23095…+2pin

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sin(x)=(2sqrt(2))/3

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

x = 1.23095 \dots + 2 πn, x = π - 1.23095 \dots + 2 πn

Degrees

x = 70.52877 \dots^{\circ} + 36 0^{\circ} n, x = 109.47122 \dots^{\circ} + 36 0^{\circ} n

Solution steps

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

Apply trig inverse properties

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

General solutions for

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

sin (x) = a \Rightarrow x = arcsin (a) + 2 πn, x = π - arcsin (a) + 2 πn

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

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

Show solutions in decimal form

x = 1.23095 \dots + 2 πn, x = π - 1.23095 \dots + 2 πn

arctan (θ) = 7 \cdot \frac{540}{15}

k sin (x) - c = 0

cos (x) = sin (x - \frac{π}{2})

5 cos (x) + 2 = 0, 0 \leq x \leq 2 π

2 sin (x) cos (x) - sin (2 x) cos (2 x) = 0

What is the general solution for sin(x)=(2sqrt(2))/3 ?
The general solution for sin(x)=(2sqrt(2))/3 is x=1.23095…+2pin,x=pi-1.23095…+2pin