What is the general solution for sin(x)= 1/10 ?

The general solution for sin(x)= 1/10 is x=0.10016…+2pin,x=pi-0.10016…+2pin

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sin(x)= 1/10

sin (x) = \frac{1}{10}

x = 0.10016 \dots + 2 πn, x = π - 0.10016 \dots + 2 πn

Solution steps

sin (x) = \frac{1}{10}

Apply trig inverse properties

x = arcsin (\frac{1}{10}) + 2 πn, x = π - arcsin (\frac{1}{10}) + 2 πn

Show solutions in decimal form

x = 0.10016 \dots + 2 πn, x = π - 0.10016 \dots + 2 πn

θ, sin (θ) = 0

sec (2 z - \frac{π}{6}) = 2

2 sin (2 x) = - 1

csc (2 x - \frac{π}{3}) = 2

cos (\frac{x}{2}) = cos (x), 0 \leq x \leq 2 π

What is the general solution for sin(x)= 1/10 ?
The general solution for sin(x)= 1/10 is x=0.10016…+2pin,x=pi-0.10016…+2pin