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 = 157.97568 \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

sin (x) = \frac{1}{3}

2 sin^{2} (x) + 9 cos (x) = 6

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

tan^{2} (x) - sec^{2} (x) = 1

sin (x) = - sin (x)

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