What is the general solution for sin(θ)=-3/8 ?

The general solution for sin(θ)=-3/8 is θ=-0.38439…+2pin,θ=pi+0.38439…+2pin

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sin(θ)=-3/8

sin (θ) = - \frac{3}{8}

θ = - 0.38439 \dots + 2 πn, θ = π + 0.38439 \dots + 2 πn

Degrees

θ = - 22.02431 \dots^{\circ} + 36 0^{\circ} n, θ = 202.02431 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (θ) = - \frac{3}{8}

Apply trig inverse properties

sin (θ) = - \frac{3}{8}

General solutions for

sin (θ) = - \frac{3}{8}

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

θ = arcsin (- \frac{3}{8}) + 2 πn, θ = π + arcsin (\frac{3}{8}) + 2 πn

θ = arcsin (- \frac{3}{8}) + 2 πn, θ = π + arcsin (\frac{3}{8}) + 2 πn

Show solutions in decimal form

θ = - 0.38439 \dots + 2 πn, θ = π + 0.38439 \dots + 2 πn

What is the general solution for sin(θ)=-3/8 ?
The general solution for sin(θ)=-3/8 is θ=-0.38439…+2pin,θ=pi+0.38439…+2pin