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

Solution steps

sin (α) = \frac{8}{17}

Apply trig inverse properties

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

cos (x) = - sin (\frac{π}{3})

2 sin (x) + cos (2 x) = 0

2 cosh^{2} (x) - 3 sinh (x) = 1

3 cos^{2} (θ) - sin^{2} (θ) = 2

x, y = \frac{4}{π} arccos (\frac{x}{4})

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