What is the general solution for sin(θ)=0.84802194 ?

The general solution for sin(θ)=0.84802194 is θ=1.01224…+2pin,θ=pi-1.01224…+2pin

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sin(θ)=0.84802194

sin (θ) = 0.84802194

θ = 1.01224 \dots + 2 πn, θ = π - 1.01224 \dots + 2 πn

Degrees

θ = 57.99717 \dots^{\circ} + 36 0^{\circ} n, θ = 122.00282 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (θ) = 0.84802194

Apply trig inverse properties

sin (θ) = 0.84802194

General solutions for

sin (θ) = 0.84802194

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

θ = arcsin (0.84802194) + 2 πn, θ = π - arcsin (0.84802194) + 2 πn

θ = arcsin (0.84802194) + 2 πn, θ = π - arcsin (0.84802194) + 2 πn

Show solutions in decimal form

θ = 1.01224 \dots + 2 πn, θ = π - 1.01224 \dots + 2 πn

What is the general solution for sin(θ)=0.84802194 ?
The general solution for sin(θ)=0.84802194 is θ=1.01224…+2pin,θ=pi-1.01224…+2pin