What is the general solution for solvefor x,sin(x)= 1/3 ?

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

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solvefor x,sin(x)= 1/3

solve for

x, sin (x) = \frac{1}{3}

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

Solution steps

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

Apply trig inverse properties

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

Show solutions in decimal form

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

tan (A) = \frac{5}{12}

cos (\frac{x}{2}) = \frac{1 - cos ( x )}{2}

0.322 = sin (3.92232 \cdot x)

x, arcsin (y) = arcsin (x)

x, cos (2 x) = \frac{1}{2}

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