What is the general solution for sin(θ)=(sqrt(3))/(12) ?

The general solution for sin(θ)=(sqrt(3))/(12) is θ=0.14484…+2pin,θ=pi-0.14484…+2pin

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sin(θ)=(sqrt(3))/(12)

sin (θ) = \frac{3}{12}

θ = 0.14484 \dots + 2 πn, θ = π - 0.14484 \dots + 2 πn

Degrees

θ = 8.29892 \dots^{\circ} + 36 0^{\circ} n, θ = 171.70107 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (θ) = \frac{3}{12}

Apply trig inverse properties

sin (θ) = \frac{3}{12}

General solutions for

sin (θ) = \frac{3}{12}

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

θ = arcsin (\frac{3}{12}) + 2 πn, θ = π - arcsin (\frac{3}{12}) + 2 πn

θ = arcsin (\frac{3}{12}) + 2 πn, θ = π - arcsin (\frac{3}{12}) + 2 πn

Show solutions in decimal form

θ = 0.14484 \dots + 2 πn, θ = π - 0.14484 \dots + 2 πn

What is the general solution for sin(θ)=(sqrt(3))/(12) ?
The general solution for sin(θ)=(sqrt(3))/(12) is θ=0.14484…+2pin,θ=pi-0.14484…+2pin