What is the general solution for sin(θ)=(0.65) ?

The general solution for sin(θ)=(0.65) is θ=0.70758…+2pin,θ=pi-0.70758…+2pin

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sin(θ)=(0.65)

sin (θ) = (0.65)

θ = 0.70758 \dots + 2 πn, θ = π - 0.70758 \dots + 2 πn

Degrees

θ = 40.54160 \dots^{\circ} + 36 0^{\circ} n, θ = 139.45839 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (θ) = (0.65)

Apply trig inverse properties

sin (θ) = 0.65

General solutions for

sin (θ) = 0.65

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

θ = arcsin (0.65) + 2 πn, θ = π - arcsin (0.65) + 2 πn

θ = arcsin (0.65) + 2 πn, θ = π - arcsin (0.65) + 2 πn

Show solutions in decimal form

θ = 0.70758 \dots + 2 πn, θ = π - 0.70758 \dots + 2 πn

What is the general solution for sin(θ)=(0.65) ?
The general solution for sin(θ)=(0.65) is θ=0.70758…+2pin,θ=pi-0.70758…+2pin