What is the general solution for sin(x)= 1/8 ?

The general solution for sin(x)= 1/8 is x=0.12532…+2pin,x=pi-0.12532…+2pin

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sin(x)= 1/8

sin (x) = \frac{1}{8}

x = 0.12532 \dots + 2 πn, x = π - 0.12532 \dots + 2 πn

Solution steps

sin (x) = \frac{1}{8}

Apply trig inverse properties

x = arcsin (\frac{1}{8}) + 2 πn, x = π - arcsin (\frac{1}{8}) + 2 πn

Show solutions in decimal form

x = 0.12532 \dots + 2 πn, x = π - 0.12532 \dots + 2 πn

2 cos (2 θ) = 1

8 cos (θ) - 43 = 0

cos (x) = 1 + sin (x)

(tan (x) + 3) (cos (x) + 2) = 0

x, cos (y) + sin (x) = 1

What is the general solution for sin(x)= 1/8 ?
The general solution for sin(x)= 1/8 is x=0.12532…+2pin,x=pi-0.12532…+2pin