What is the general solution for sin(θ)= 1/8 ?

The general solution for sin(θ)= 1/8 is θ=0.12532…+2pin,θ=pi-0.12532…+2pin

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sin(θ)= 1/8

sin (θ) = \frac{1}{8}

θ = 0.12532 \dots + 2 πn, θ = π - 0.12532 \dots + 2 πn

Solution steps

sin (θ) = \frac{1}{8}

Apply trig inverse properties

θ = arcsin (\frac{1}{8}) + 2 πn, θ = π - arcsin (\frac{1}{8}) + 2 πn

Show solutions in decimal form

θ = 0.12532 \dots + 2 πn, θ = π - 0.12532 \dots + 2 πn

5 sin (θ) + 1 = 0

sec (3 θ) = 2

- sin (x) (2 + sin (x)) - cos^{2} (x) = 0

cos (b) = 0.3125

sin (\frac{1}{2} x) - 1 = 0

What is the general solution for sin(θ)= 1/8 ?
The general solution for sin(θ)= 1/8 is θ=0.12532…+2pin,θ=pi-0.12532…+2pin