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

cos (θ) = \frac{2}{2}, sin (θ) = - \frac{2}{2}

cos (θ) = \frac{198.36}{229.4}

(cos (x) - 1) (tan (x) - 1) = 0

- cos (2 x + 3) = 0

tan (2 x) = \frac{- 270 - 120}{130}

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