What is the general solution for sin(x)= 5/9 ?

The general solution for sin(x)= 5/9 is x=0.58903…+2pin,x=pi-0.58903…+2pin

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sin(x)= 5/9

sin (x) = \frac{5}{9}

x = 0.58903 \dots + 2 πn, x = π - 0.58903 \dots + 2 πn

Solution steps

sin (x) = \frac{5}{9}

Apply trig inverse properties

x = arcsin (\frac{5}{9}) + 2 πn, x = π - arcsin (\frac{5}{9}) + 2 πn

Show solutions in decimal form

x = 0.58903 \dots + 2 πn, x = π - 0.58903 \dots + 2 πn

sin (x) = \frac{5}{3}

tan (3 x) = \frac{1}{3}

7 cot (x) - 3 = 4 cot (x)

cos (θ) + 2 cos^{2} (θ) = 1

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

What is the general solution for sin(x)= 5/9 ?
The general solution for sin(x)= 5/9 is x=0.58903…+2pin,x=pi-0.58903…+2pin