What is the general solution for sin(x)=0.51 ?

The general solution for sin(x)=0.51 is x=0.53518…+2pin,x=pi-0.53518…+2pin

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sin(x)=0.51

sin (x) = 0.51

x = 0.53518 \dots + 2 πn, x = π - 0.53518 \dots + 2 πn

Degrees

x = 30.66382 \dots^{\circ} + 36 0^{\circ} n, x = 149.33617 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = 0.51

Apply trig inverse properties

sin (x) = 0.51

General solutions for

sin (x) = 0.51

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

x = arcsin (0.51) + 2 πn, x = π - arcsin (0.51) + 2 πn

x = arcsin (0.51) + 2 πn, x = π - arcsin (0.51) + 2 πn

Show solutions in decimal form

x = 0.53518 \dots + 2 πn, x = π - 0.53518 \dots + 2 πn

sin (x) = 0.89

sin (x) = 0.02

3 csc (x) - 2 = 4

sec (x) - sin (x) tan (x) = cos (x)

sec (x) - cos (x) = sin (x) tan (x)

What is the general solution for sin(x)=0.51 ?
The general solution for sin(x)=0.51 is x=0.53518…+2pin,x=pi-0.53518…+2pin