What is the general solution for sin(x)=0.36 ?

The general solution for sin(x)=0.36 is x=0.36826…+2pin,x=pi-0.36826…+2pin

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sin(x)=0.36

sin (x) = 0.36

x = 0.36826 \dots + 2 πn, x = π - 0.36826 \dots + 2 πn

Solution steps

sin (x) = 0.36

Apply trig inverse properties

x = arcsin (0.36) + 2 πn, x = π - arcsin (0.36) + 2 πn

Show solutions in decimal form

x = 0.36826 \dots + 2 πn, x = π - 0.36826 \dots + 2 πn

5 sin^{2} (x) + 10 sin (x) + 5 = 0

sin (x) = 0.94

sin (x) = 0.92

cos (3 x) = sin (2 x)

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

What is the general solution for sin(x)=0.36 ?
The general solution for sin(x)=0.36 is x=0.36826…+2pin,x=pi-0.36826…+2pin