What is the general solution for sin(x)= 7/9 ?

The general solution for sin(x)= 7/9 is x=0.89112…+2pin,x=pi-0.89112…+2pin

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sin(x)= 7/9

sin (x) = \frac{7}{9}

x = 0.89112 \dots + 2 πn, x = π - 0.89112 \dots + 2 πn

Degrees

x = 51.05755 \dots^{\circ} + 36 0^{\circ} n, x = 128.94244 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = \frac{7}{9}

Apply trig inverse properties

sin (x) = \frac{7}{9}

General solutions for

sin (x) = \frac{7}{9}

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

x = arcsin (\frac{7}{9}) + 2 πn, x = π - arcsin (\frac{7}{9}) + 2 πn

x = arcsin (\frac{7}{9}) + 2 πn, x = π - arcsin (\frac{7}{9}) + 2 πn

Show solutions in decimal form

x = 0.89112 \dots + 2 πn, x = π - 0.89112 \dots + 2 πn

2 cos (t) = 0

10 sin (θ) + 8 = 11

4 cos (2 θ) = 0

\frac{1}{2} = sin (θ)

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

What is the general solution for sin(x)= 7/9 ?
The general solution for sin(x)= 7/9 is x=0.89112…+2pin,x=pi-0.89112…+2pin