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 = 189.59406 \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

sin (θ) = \frac{8}{14}

sin (θ) = \frac{8}{10}

- 10 = 8 tan (x) + 6

- 4 sin (2 θ) = 5 cos (2 θ), 0^{\circ} \leq 2 θ < 72 0^{\circ}

2 cos (2 x) + cos (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