What is the general solution for sin(θ)=((0.0543)/(0.9911)) ?

The general solution for sin(θ)=((0.0543)/(0.9911)) is θ=0.05481…+2pin,θ=pi-0.05481…+2pin

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sin(θ)=((0.0543)/(0.9911))

sin (θ) = (\frac{0.0543}{0.9911})

θ = 0.05481 \dots + 2 πn, θ = π - 0.05481 \dots + 2 πn

Degrees

θ = 3.14067 \dots^{\circ} + 36 0^{\circ} n, θ = 176.85932 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (θ) = (\frac{0.0543}{0.9911})

Apply trig inverse properties

sin (θ) = \frac{0.0543}{0.9911}

General solutions for

sin (θ) = \frac{0.0543}{0.9911}

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

θ = arcsin (\frac{0.0543}{0.9911}) + 2 πn, θ = π - arcsin (\frac{0.0543}{0.9911}) + 2 πn

θ = arcsin (\frac{0.0543}{0.9911}) + 2 πn, θ = π - arcsin (\frac{0.0543}{0.9911}) + 2 πn

Show solutions in decimal form

θ = 0.05481 \dots + 2 πn, θ = π - 0.05481 \dots + 2 πn

sin (x) = 0.2419

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

tan (θ) = - \frac{19}{17}

2 sin (θ) tan (θ) - 2 sin (θ) + tan (θ) - 1 = 0

cos (x) = 0.3, cos (π - x)

What is the general solution for sin(θ)=((0.0543)/(0.9911)) ?
The general solution for sin(θ)=((0.0543)/(0.9911)) is θ=0.05481…+2pin,θ=pi-0.05481…+2pin