What is the general solution for sin(θ)=0.1 ?

The general solution for sin(θ)=0.1 is θ=0.10016…+2pin,θ=pi-0.10016…+2pin

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sin(θ)=0.1

sin (θ) = 0.1

θ = 0.10016 \dots + 2 πn, θ = π - 0.10016 \dots + 2 πn

Degrees

θ = 5.73917 \dots^{\circ} + 36 0^{\circ} n, θ = 174.26082 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (θ) = 0.1

Apply trig inverse properties

sin (θ) = 0.1

General solutions for

sin (θ) = 0.1

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

θ = arcsin (0.1) + 2 πn, θ = π - arcsin (0.1) + 2 πn

θ = arcsin (0.1) + 2 πn, θ = π - arcsin (0.1) + 2 πn

Show solutions in decimal form

θ = 0.10016 \dots + 2 πn, θ = π - 0.10016 \dots + 2 πn

\frac{2}{sin ( x )} + 10 = 6

sin (θ) - 0.2 cos (θ) = 0.6377

\frac{1}{sin ( x )} = cos (x)

cos (θ) = - 0.8722

3 cos (x) + 2 sin (x) cos (x) = 0

What is the general solution for sin(θ)=0.1 ?
The general solution for sin(θ)=0.1 is θ=0.10016…+2pin,θ=pi-0.10016…+2pin