What is the general solution for sin(a)= 2/(sqrt(5)) ?

The general solution for sin(a)= 2/(sqrt(5)) is a=1.10714…+2pin,a=pi-1.10714…+2pin

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sin(a)= 2/(sqrt(5))

sin (a) = \frac{2}{5}

a = 1.10714 \dots + 2 πn, a = π - 1.10714 \dots + 2 πn

Solution steps

sin (a) = \frac{2}{5}

Simplify

\frac{2}{5} : \frac{2 5}{5}

Apply trig inverse properties

a = arcsin (\frac{2 5}{5}) + 2 πn, a = π - arcsin (\frac{2 5}{5}) + 2 πn

Show solutions in decimal form

a = 1.10714 \dots + 2 πn, a = π - 1.10714 \dots + 2 πn

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What is the general solution for sin(a)= 2/(sqrt(5)) ?
The general solution for sin(a)= 2/(sqrt(5)) is a=1.10714…+2pin,a=pi-1.10714…+2pin