What is the general solution for sin(x)=0.942 ?

The general solution for sin(x)=0.942 is x=1.22854…+2pin,x=pi-1.22854…+2pin

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sin(x)=0.942

sin (x) = 0.942

x = 1.22854 \dots + 2 πn, x = π - 1.22854 \dots + 2 πn

Degrees

x = 70.39018 \dots^{\circ} + 36 0^{\circ} n, x = 109.60981 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = 0.942

Apply trig inverse properties

sin (x) = 0.942

General solutions for

sin (x) = 0.942

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

x = arcsin (0.942) + 2 πn, x = π - arcsin (0.942) + 2 πn

x = arcsin (0.942) + 2 πn, x = π - arcsin (0.942) + 2 πn

Show solutions in decimal form

x = 1.22854 \dots + 2 πn, x = π - 1.22854 \dots + 2 πn

4 cos^{2} (x) = 5 + 4 sin (x), (0, 2 π)

\frac{sin ( S )}{53} = \frac{sin ( 11 5 ^{\circ} )}{83}

25 sin^{2} (x) - 10 sin (x) + 1 = 0

4 - 4 sin (θ) = 2

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

What is the general solution for sin(x)=0.942 ?
The general solution for sin(x)=0.942 is x=1.22854…+2pin,x=pi-1.22854…+2pin