What is the general solution for sin(θ)=0.3 ?

The general solution for sin(θ)=0.3 is θ=0.30469…+2pin,θ=pi-0.30469…+2pin

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sin(θ)=0.3

sin (θ) = 0.3

θ = 0.30469 \dots + 2 πn, θ = π - 0.30469 \dots + 2 πn

Degrees

θ = 17.45760 \dots^{\circ} + 36 0^{\circ} n, θ = 162.54239 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (θ) = 0.3

Apply trig inverse properties

sin (θ) = 0.3

General solutions for

sin (θ) = 0.3

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

θ = arcsin (0.3) + 2 πn, θ = π - arcsin (0.3) + 2 πn

θ = arcsin (0.3) + 2 πn, θ = π - arcsin (0.3) + 2 πn

Show solutions in decimal form

θ = 0.30469 \dots + 2 πn, θ = π - 0.30469 \dots + 2 πn

tan (\frac{x}{2}) + 3 = 0

tan^{2} (θ) - 4 = 0

csc^{2} (θ) - 2 csc (θ) - 8 = 0

(tan (θ) + 1) (cos (θ) + 1) = 0

sec (θ) = \frac{5}{3}

What is the general solution for sin(θ)=0.3 ?
The general solution for sin(θ)=0.3 is θ=0.30469…+2pin,θ=pi-0.30469…+2pin