What is the general solution for sin(x)= 1/6 ?

The general solution for sin(x)= 1/6 is x=0.16744…+2pin,x=pi-0.16744…+2pin

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sin(x)= 1/6

sin (x) = \frac{1}{6}

x = 0.16744 \dots + 2 πn, x = π - 0.16744 \dots + 2 πn

Degrees

x = 9.59406 \dots^{\circ} + 36 0^{\circ} n, x = 170.40593 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = \frac{1}{6}

Apply trig inverse properties

sin (x) = \frac{1}{6}

General solutions for

sin (x) = \frac{1}{6}

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

x = arcsin (\frac{1}{6}) + 2 πn, x = π - arcsin (\frac{1}{6}) + 2 πn

x = arcsin (\frac{1}{6}) + 2 πn, x = π - arcsin (\frac{1}{6}) + 2 πn

Show solutions in decimal form

x = 0.16744 \dots + 2 πn, x = π - 0.16744 \dots + 2 πn

tan (θ) = \frac{2}{5}

tan (x) + 3 cot (x) = 4

cos (2 x) [cos (2 x) - 3] = 0

cos^{2} (θ) = \frac{1}{4}

3 tan^{3} (x) - 3 tan^{2} (x) - tan (x) + 1 = 0

What is the general solution for sin(x)= 1/6 ?
The general solution for sin(x)= 1/6 is x=0.16744…+2pin,x=pi-0.16744…+2pin