What is the general solution for sin(x)= 3/10 ?

The general solution for sin(x)= 3/10 is x=0.30469…+2pin,x=pi-0.30469…+2pin

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sin(x)= 3/10

sin (x) = \frac{3}{10}

x = 0.30469 \dots + 2 πn, x = π - 0.30469 \dots + 2 πn

Solution steps

sin (x) = \frac{3}{10}

Apply trig inverse properties

x = arcsin (\frac{3}{10}) + 2 πn, x = π - arcsin (\frac{3}{10}) + 2 πn

Show solutions in decimal form

x = 0.30469 \dots + 2 πn, x = π - 0.30469 \dots + 2 πn

9 csc^{2} (x) + 7 = 19

sin^{2} (x) = \frac{1}{2} + \frac{1}{2} cos (2 x)

tan (x) = \frac{8}{12}

tan (x) = \frac{8}{10}

3 cot (x) - 1 = 0

What is the general solution for sin(x)= 3/10 ?
The general solution for sin(x)= 3/10 is x=0.30469…+2pin,x=pi-0.30469…+2pin