What is the general solution for sin(x)=0.92 ?

The general solution for sin(x)=0.92 is x=1.16808…+2pin,x=pi-1.16808…+2pin

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sin(x)=0.92

sin (x) = 0.92

x = 1.16808 \dots + 2 πn, x = π - 1.16808 \dots + 2 πn

Solution steps

sin (x) = 0.92

Apply trig inverse properties

x = arcsin (0.92) + 2 πn, x = π - arcsin (0.92) + 2 πn

Show solutions in decimal form

x = 1.16808 \dots + 2 πn, x = π - 1.16808 \dots + 2 πn

cos (3 x) = sin (2 x)

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

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

cos (\frac{π}{6} x) = 0

4 cos (θ) = - 4 sin (- θ)

What is the general solution for sin(x)=0.92 ?
The general solution for sin(x)=0.92 is x=1.16808…+2pin,x=pi-1.16808…+2pin