What is the general solution for sin(t)= 1/3 ?

The general solution for sin(t)= 1/3 is t=0.33983…+2pin,t=pi-0.33983…+2pin

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sin(t)= 1/3

sin (t) = \frac{1}{3}

t = 0.33983 \dots + 2 πn, t = π - 0.33983 \dots + 2 πn

Degrees

t = 19.47122 \dots^{\circ} + 36 0^{\circ} n, t = 160.52877 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (t) = \frac{1}{3}

Apply trig inverse properties

sin (t) = \frac{1}{3}

General solutions for

sin (t) = \frac{1}{3}

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

t = arcsin (\frac{1}{3}) + 2 πn, t = π - arcsin (\frac{1}{3}) + 2 πn

t = arcsin (\frac{1}{3}) + 2 πn, t = π - arcsin (\frac{1}{3}) + 2 πn

Show solutions in decimal form

t = 0.33983 \dots + 2 πn, t = π - 0.33983 \dots + 2 πn

5 csc (x) - 3 = 2

2 cos^{2} (x) + 2 = 4

sin (z) = 3

3 sin (\frac{θ}{2}) + sin (θ) = 0

2 sin (x) cos (x) sin (x) = cos (x)

What is the general solution for sin(t)= 1/3 ?
The general solution for sin(t)= 1/3 is t=0.33983…+2pin,t=pi-0.33983…+2pin