What is the general solution for sin(θ)=0.49 ?

The general solution for sin(θ)=0.49 is θ=0.51208…+2pin,θ=pi-0.51208…+2pin

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sin(θ)=0.49

sin (θ) = 0.49

θ = 0.51208 \dots + 2 πn, θ = π - 0.51208 \dots + 2 πn

Solution steps

sin (θ) = 0.49

Apply trig inverse properties

θ = arcsin (0.49) + 2 πn, θ = π - arcsin (0.49) + 2 πn

Show solutions in decimal form

θ = 0.51208 \dots + 2 πn, θ = π - 0.51208 \dots + 2 πn

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

2 sin^{2} (θ) - cos (θ) = 0

csc (θ) = \frac{2}{3}

cos (\frac{x}{2}) (\frac{1}{2}) = 0

cos (x) = 0.83

What is the general solution for sin(θ)=0.49 ?
The general solution for sin(θ)=0.49 is θ=0.51208…+2pin,θ=pi-0.51208…+2pin