What is the general solution for sin(y)= 2/3 ?

The general solution for sin(y)= 2/3 is y=0.72972…+2pin,y=pi-0.72972…+2pin

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sin(y)= 2/3

sin (y) = \frac{2}{3}

y = 0.72972 \dots + 2 πn, y = π - 0.72972 \dots + 2 πn

Degrees

y = 41.81031 \dots^{\circ} + 36 0^{\circ} n, y = 138.18968 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (y) = \frac{2}{3}

Apply trig inverse properties

sin (y) = \frac{2}{3}

General solutions for

sin (y) = \frac{2}{3}

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

y = arcsin (\frac{2}{3}) + 2 πn, y = π - arcsin (\frac{2}{3}) + 2 πn

y = arcsin (\frac{2}{3}) + 2 πn, y = π - arcsin (\frac{2}{3}) + 2 πn

Show solutions in decimal form

y = 0.72972 \dots + 2 πn, y = π - 0.72972 \dots + 2 πn

sin (a) = 0.6625

6 - 4 cos^{2} (x) - 9 sin (x) = 0

cos^{2} (x) + cos^{2} (3 x) = 1

tan (x) = \frac{16}{3}

\frac{1}{( sec ( a ) - tan ( a ) )} = sec (a) + tan (x)

What is the general solution for sin(y)= 2/3 ?
The general solution for sin(y)= 2/3 is y=0.72972…+2pin,y=pi-0.72972…+2pin