What is the general solution for sin(θ)=0.529 ?

The general solution for sin(θ)=0.529 is θ=0.55742…+2pin,θ=pi-0.55742…+2pin

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sin(θ)=0.529

sin (θ) = 0.529

θ = 0.55742 \dots + 2 πn, θ = π - 0.55742 \dots + 2 πn

Solution steps

sin (θ) = 0.529

Apply trig inverse properties

θ = arcsin (0.529) + 2 πn, θ = π - arcsin (0.529) + 2 πn

Show solutions in decimal form

θ = 0.55742 \dots + 2 πn, θ = π - 0.55742 \dots + 2 πn

4 sin (x) - 2 csc (x) = 0

2 sin (2 x) = - 1, 0 < x < 2 π

4 sin (x) - 1 = 2

5 sin^{2} (x) + 2 sin (x) - 1 = 0

3 cos (7 θ) = 0

What is the general solution for sin(θ)=0.529 ?
The general solution for sin(θ)=0.529 is θ=0.55742…+2pin,θ=pi-0.55742…+2pin