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

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

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sin(a)= 8/17

sin (a) = \frac{8}{17}

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

Degrees

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

Solution steps

sin (a) = \frac{8}{17}

Apply trig inverse properties

sin (a) = \frac{8}{17}

General solutions for

sin (a) = \frac{8}{17}

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

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

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

Show solutions in decimal form

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

cot (t) = 1

4 sin (x) + 3 = 5

tan (θ) = \frac{3}{3}

cos (x) = - \frac{24}{25}

cos (2 x) = \frac{3}{2}, 0 \leq x < 2 π

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