What is the general solution for sin(α)= 8/17 ?

The general solution for sin(α)= 8/17 is α=0.48995…+2pin,α=pi-0.48995…+2pin

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sin(α)= 8/17

sin (α) = \frac{8}{17}

α = 0.48995 \dots + 2 πn, α = π - 0.48995 \dots + 2 πn

Degrees

α = 28.07248 \dots^{\circ} + 36 0^{\circ} n, α = 151.92751 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (α) = \frac{8}{17}

Apply trig inverse properties

sin (α) = \frac{8}{17}

General solutions for

sin (α) = \frac{8}{17}

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

α = arcsin (\frac{8}{17}) + 2 πn, α = π - arcsin (\frac{8}{17}) + 2 πn

α = arcsin (\frac{8}{17}) + 2 πn, α = π - arcsin (\frac{8}{17}) + 2 πn

Show solutions in decimal form

α = 0.48995 \dots + 2 πn, α = π - 0.48995 \dots + 2 πn

What is the general solution for sin(α)= 8/17 ?
The general solution for sin(α)= 8/17 is α=0.48995…+2pin,α=pi-0.48995…+2pin