What is the general solution for sin(x)= 9/11 ?

The general solution for sin(x)= 9/11 is x=0.95824…+2pin,x=pi-0.95824…+2pin

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sin(x)= 9/11

sin (x) = \frac{9}{11}

x = 0.95824 \dots + 2 πn, x = π - 0.95824 \dots + 2 πn

Solution steps

sin (x) = \frac{9}{11}

Apply trig inverse properties

x = arcsin (\frac{9}{11}) + 2 πn, x = π - arcsin (\frac{9}{11}) + 2 πn

Show solutions in decimal form

x = 0.95824 \dots + 2 πn, x = π - 0.95824 \dots + 2 πn

sec^{2} (x) = - 4

0 = 2 sin (x) + 1

cos (θ) = \frac{- 1}{2}

cos^{2} (θ) - cos (θ) - 6 = 0

x, 0 = 1 + cos (x)

What is the general solution for sin(x)= 9/11 ?
The general solution for sin(x)= 9/11 is x=0.95824…+2pin,x=pi-0.95824…+2pin