What is the general solution for -1/3 =sin(x) ?

The general solution for -1/3 =sin(x) is x=-0.33983…+2pin,x=pi+0.33983…+2pin

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-1/3 =sin(x)

- \frac{1}{3} = sin (x)

x = - 0.33983 \dots + 2 πn, x = π + 0.33983 \dots + 2 πn

Degrees

x = - 19.47122 \dots^{\circ} + 36 0^{\circ} n, x = 199.47122 \dots^{\circ} + 36 0^{\circ} n

Solution steps

- \frac{1}{3} = sin (x)

Switch sides

sin (x) = - \frac{1}{3}

Apply trig inverse properties

sin (x) = - \frac{1}{3}

General solutions for

sin (x) = - \frac{1}{3}

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

x = arcsin (- \frac{1}{3}) + 2 πn, x = π + arcsin (\frac{1}{3}) + 2 πn

x = arcsin (- \frac{1}{3}) + 2 πn, x = π + arcsin (\frac{1}{3}) + 2 πn

Show solutions in decimal form

x = - 0.33983 \dots + 2 πn, x = π + 0.33983 \dots + 2 πn

6 sin^{2} (a) + cos (2 a) = 2

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

sin (2 q) = 0

tan (x) = \frac{218}{75}

cos (x) - 2 + 2 = 1

What is the general solution for -1/3 =sin(x) ?
The general solution for -1/3 =sin(x) is x=-0.33983…+2pin,x=pi+0.33983…+2pin