What is the general solution for 0.666=sin(x) ?

The general solution for 0.666=sin(x) is x=0.72883…+2pin,x=pi-0.72883…+2pin

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0.666=sin(x)

0.666 = sin (x)

x = 0.72883 \dots + 2 πn, x = π - 0.72883 \dots + 2 πn

Degrees

x = 41.75908 \dots^{\circ} + 36 0^{\circ} n, x = 138.24091 \dots^{\circ} + 36 0^{\circ} n

Solution steps

0.666 = sin (x)

Switch sides

sin (x) = 0.666

Apply trig inverse properties

sin (x) = 0.666

General solutions for

sin (x) = 0.666

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

x = arcsin (0.666) + 2 πn, x = π - arcsin (0.666) + 2 πn

x = arcsin (0.666) + 2 πn, x = π - arcsin (0.666) + 2 πn

Show solutions in decimal form

x = 0.72883 \dots + 2 πn, x = π - 0.72883 \dots + 2 πn

2 \cdot cos^{2} (x) - sin^{2} (x) + 1 = 0

1 = sinh (x)

15 cos^{2} (θ) + cos (θ) - 2 = 0

sin (θ) = \frac{9}{11}

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

What is the general solution for 0.666=sin(x) ?
The general solution for 0.666=sin(x) is x=0.72883…+2pin,x=pi-0.72883…+2pin