What is the general solution for sin(θ)= 8/9 ?

The general solution for sin(θ)= 8/9 is θ=1.09491…+2pin,θ=pi-1.09491…+2pin

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sin(θ)= 8/9

sin (θ) = \frac{8}{9}

θ = 1.09491 \dots + 2 πn, θ = π - 1.09491 \dots + 2 πn

Solution steps

sin (θ) = \frac{8}{9}

Apply trig inverse properties

θ = arcsin (\frac{8}{9}) + 2 πn, θ = π - arcsin (\frac{8}{9}) + 2 πn

Show solutions in decimal form

θ = 1.09491 \dots + 2 πn, θ = π - 1.09491 \dots + 2 πn

sec (2 x) + tan (2 x) = \frac{1}{2}

\frac{2}{tan ( a ) + cot ( a )} = 2 sin (a)

2 sin^{2} (w) + 3 sin (w) + 1 = 0

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

sin (t) cos (t) = cos (t)

What is the general solution for sin(θ)= 8/9 ?
The general solution for sin(θ)= 8/9 is θ=1.09491…+2pin,θ=pi-1.09491…+2pin