What is the general solution for sin(θ)= 19/27 ?

The general solution for sin(θ)= 19/27 is θ=0.78059…+2pin,θ=pi-0.78059…+2pin

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sin(θ)= 19/27

sin (θ) = \frac{19}{27}

θ = 0.78059 \dots + 2 πn, θ = π - 0.78059 \dots + 2 πn

Solution steps

sin (θ) = \frac{19}{27}

Apply trig inverse properties

θ = arcsin (\frac{19}{27}) + 2 πn, θ = π - arcsin (\frac{19}{27}) + 2 πn

Show solutions in decimal form

θ = 0.78059 \dots + 2 πn, θ = π - 0.78059 \dots + 2 πn

sin^{4} (x) = \frac{1}{2} cos^{2} (x)

3 cos^{2} (x) + cos (x) - 2 = 0

sinh^{2} (x) + 3 tanh^{2} (x) = 4

\frac{sin ( 5 1 ^{\circ} )}{18} = \frac{sin ( c )}{17}

0 = \frac{1}{2} cos (82 t) + \frac{1}{8} sin (82 t)

What is the general solution for sin(θ)= 19/27 ?
The general solution for sin(θ)= 19/27 is θ=0.78059…+2pin,θ=pi-0.78059…+2pin