What is the general solution for sin(x)=0.731 ?

The general solution for sin(x)=0.731 is x=0.81978…+2pin,x=pi-0.81978…+2pin

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sin(x)=0.731

sin (x) = 0.731

x = 0.81978 \dots + 2 πn, x = π - 0.81978 \dots + 2 πn

Degrees

x = 46.97029 \dots^{\circ} + 36 0^{\circ} n, x = 133.02970 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = 0.731

Apply trig inverse properties

sin (x) = 0.731

General solutions for

sin (x) = 0.731

sin (x) = a \Rightarrow x = arcsin (a) + 2 πn, x = π - arcsin (a) + 2 πn

x = arcsin (0.731) + 2 πn, x = π - arcsin (0.731) + 2 πn

x = arcsin (0.731) + 2 πn, x = π - arcsin (0.731) + 2 πn

Show solutions in decimal form

x = 0.81978 \dots + 2 πn, x = π - 0.81978 \dots + 2 πn

sin (x) = 0.766

sin (x) = 0.755

3 tan^{2} (x) - 5 tan (x) + 2 = 0

θ, ρ = (4 sin (φ) cos (θ))

sin^{2} (a) - cos^{2} (a) = 1

What is the general solution for sin(x)=0.731 ?
The general solution for sin(x)=0.731 is x=0.81978…+2pin,x=pi-0.81978…+2pin