What is the general solution for sin(θ)= 2/3 ,90<θ<180 ?

The general solution for sin(θ)= 2/3 ,90<θ<180 is θ=180-0.72972…

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sin(θ)= 2/3 ,90<θ<180

sin (θ) = \frac{2}{3}, 9 0^{\circ} < θ < 18 0^{\circ}

θ = 18 0^{\circ} - 0.72972 \dots

Solution steps

sin (θ) = \frac{2}{3}, 9 0^{\circ} < θ < 18 0^{\circ}

Apply trig inverse properties

θ = arcsin (\frac{2}{3}) + 36 0^{\circ} n, θ = 18 0^{\circ} - arcsin (\frac{2}{3}) + 36 0^{\circ} n

Solutions for the range

9 0^{\circ} < θ < 18 0^{\circ}

θ = 18 0^{\circ} - arcsin (\frac{2}{3})

Show solutions in decimal form

θ = 18 0^{\circ} - 0.72972 \dots

4 sin^{2} (3 x) - 2 = 0

cos (\frac{π}{6} x) = 0

4 cos (θ) = - 4 sin (- θ)

tan (5 x) + tan (3 x) = 0

5 sin (2 x) = 5 cos (x)

What is the general solution for sin(θ)= 2/3 ,90<θ<180 ?
The general solution for sin(θ)= 2/3 ,90<θ<180 is θ=180-0.72972…