What is the general solution for sin(x)=(20)/(38.59) ?

The general solution for sin(x)=(20)/(38.59) is x=0.54482…+2pin,x=pi-0.54482…+2pin

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sin(x)=(20)/(38.59)

sin (x) = \frac{20}{38.59}

x = 0.54482 \dots + 2 πn, x = π - 0.54482 \dots + 2 πn

Degrees

x = 31.21620 \dots^{\circ} + 36 0^{\circ} n, x = 148.78379 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = \frac{20}{38.59}

Apply trig inverse properties

sin (x) = \frac{20}{38.59}

General solutions for

sin (x) = \frac{20}{38.59}

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

x = arcsin (\frac{20}{38.59}) + 2 πn, x = π - arcsin (\frac{20}{38.59}) + 2 πn

x = arcsin (\frac{20}{38.59}) + 2 πn, x = π - arcsin (\frac{20}{38.59}) + 2 πn

Show solutions in decimal form

x = 0.54482 \dots + 2 πn, x = π - 0.54482 \dots + 2 πn

sec (A) = 5.29411

sin (x) = \frac{5}{19}

1 = 3 sin (\frac{π}{4} (x - 5)) + 5

sin (x + π) - sin (x) - 1 = 0

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

What is the general solution for sin(x)=(20)/(38.59) ?
The general solution for sin(x)=(20)/(38.59) is x=0.54482…+2pin,x=pi-0.54482…+2pin