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

Solution steps

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

Apply trig inverse properties

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

2 tan (\frac{π x}{2}) = sec (\frac{π x}{2})

1.47 = (\frac{sin ( \frac{x + 60}{2} )}{sin ( 3 0 ^{\circ} )})

sin^{2} (x) + 1 = 3 sin (x) - 1

2 tan (θ) = sec^{2} (θ)

tan (θ) = \frac{14}{15}

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