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

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

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sin(t)= 2/3

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

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

Degrees

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

Solution steps

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

Apply trig inverse properties

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

General solutions for

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

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

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

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

Show solutions in decimal form

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

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