What is the general solution for sin(θ)= 1/7 ?

The general solution for sin(θ)= 1/7 is θ=0.14334…+2pin,θ=pi-0.14334…+2pin

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sin(θ)= 1/7

sin (θ) = \frac{1}{7}

θ = 0.14334 \dots + 2 πn, θ = π - 0.14334 \dots + 2 πn

Degrees

θ = 8.21321 \dots^{\circ} + 36 0^{\circ} n, θ = 171.78678 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (θ) = \frac{1}{7}

Apply trig inverse properties

sin (θ) = \frac{1}{7}

General solutions for

sin (θ) = \frac{1}{7}

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

θ = arcsin (\frac{1}{7}) + 2 πn, θ = π - arcsin (\frac{1}{7}) + 2 πn

θ = arcsin (\frac{1}{7}) + 2 πn, θ = π - arcsin (\frac{1}{7}) + 2 πn

Show solutions in decimal form

θ = 0.14334 \dots + 2 πn, θ = π - 0.14334 \dots + 2 πn

2 cos^{2} (x) - 5 cos (x) = 3

4 arctan (x) = π

x, z = arctan (\frac{x + y}{x - y})

sec^{2} (x) + 3 = 5

sec (θ) + 2 = 22

What is the general solution for sin(θ)= 1/7 ?
The general solution for sin(θ)= 1/7 is θ=0.14334…+2pin,θ=pi-0.14334…+2pin