What is the general solution for sin(x)=0.51303 ?

The general solution for sin(x)=0.51303 is x=0.53871…+2pin,x=pi-0.53871…+2pin

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sin(x)=0.51303

sin (x) = 0.51303

x = 0.53871 \dots + 2 πn, x = π - 0.53871 \dots + 2 πn

Degrees

x = 30.86586 \dots^{\circ} + 36 0^{\circ} n, x = 149.13413 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = 0.51303

Apply trig inverse properties

sin (x) = 0.51303

General solutions for

sin (x) = 0.51303

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

x = arcsin (0.51303) + 2 πn, x = π - arcsin (0.51303) + 2 πn

x = arcsin (0.51303) + 2 πn, x = π - arcsin (0.51303) + 2 πn

Show solutions in decimal form

x = 0.53871 \dots + 2 πn, x = π - 0.53871 \dots + 2 πn

t, y = - y + sin (t) + cos (t)

2 sin (x) = 2 + cos (2 x)

sin (x) = \frac{- \frac{4}{3} 3}{\frac{8}{3} 3}

sec (a) = \frac{5}{4}

cot^{4} (x) - 9 = 0

What is the general solution for sin(x)=0.51303 ?
The general solution for sin(x)=0.51303 is x=0.53871…+2pin,x=pi-0.53871…+2pin