What is the general solution for sin(x)=(48.35)/(50.14) ?

The general solution for sin(x)=(48.35)/(50.14) is x=1.30278…+2pin,x=pi-1.30278…+2pin

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sin(x)=(48.35)/(50.14)

sin (x) = \frac{48.35}{50.14}

x = 1.30278 \dots + 2 πn, x = π - 1.30278 \dots + 2 πn

Degrees

x = 74.64419 \dots^{\circ} + 36 0^{\circ} n, x = 105.35580 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = \frac{48.35}{50.14}

Apply trig inverse properties

sin (x) = \frac{48.35}{50.14}

General solutions for

sin (x) = \frac{48.35}{50.14}

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

x = arcsin (\frac{48.35}{50.14}) + 2 πn, x = π - arcsin (\frac{48.35}{50.14}) + 2 πn

x = arcsin (\frac{48.35}{50.14}) + 2 πn, x = π - arcsin (\frac{48.35}{50.14}) + 2 πn

Show solutions in decimal form

x = 1.30278 \dots + 2 πn, x = π - 1.30278 \dots + 2 πn

What is the general solution for sin(x)=(48.35)/(50.14) ?
The general solution for sin(x)=(48.35)/(50.14) is x=1.30278…+2pin,x=pi-1.30278…+2pin