What is the general solution for sin(θ)= 13/14 ?

The general solution for sin(θ)= 13/14 is θ=1.19054…+2pin,θ=pi-1.19054…+2pin

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sin(θ)= 13/14

sin (θ) = \frac{13}{14}

θ = 1.19054 \dots + 2 πn, θ = π - 1.19054 \dots + 2 πn

Degrees

θ = 68.21321 \dots^{\circ} + 36 0^{\circ} n, θ = 111.78678 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (θ) = \frac{13}{14}

Apply trig inverse properties

sin (θ) = \frac{13}{14}

General solutions for

sin (θ) = \frac{13}{14}

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

θ = arcsin (\frac{13}{14}) + 2 πn, θ = π - arcsin (\frac{13}{14}) + 2 πn

θ = arcsin (\frac{13}{14}) + 2 πn, θ = π - arcsin (\frac{13}{14}) + 2 πn

Show solutions in decimal form

θ = 1.19054 \dots + 2 πn, θ = π - 1.19054 \dots + 2 πn

What is the general solution for sin(θ)= 13/14 ?
The general solution for sin(θ)= 13/14 is θ=1.19054…+2pin,θ=pi-1.19054…+2pin