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

The general solution for sin(x)= pi/6 is x=0.55106…+2pin,x=pi-0.55106…+2pin

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sin(x)= pi/6

sin (x) = \frac{π}{6}

x = 0.55106 \dots + 2 πn, x = π - 0.55106 \dots + 2 πn

Degrees

x = 31.57396 \dots^{\circ} + 36 0^{\circ} n, x = 148.42603 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = \frac{π}{6}

Apply trig inverse properties

sin (x) = \frac{π}{6}

General solutions for

sin (x) = \frac{π}{6}

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

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

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

Show solutions in decimal form

x = 0.55106 \dots + 2 πn, x = π - 0.55106 \dots + 2 πn

(2 sin (4 x) - 1) \cdot (1 + tan (x)) = 0

arctan (θ) = 3

csc (t) = 3735, 0 < t < \frac{π}{2}, cot (t)

- 1 = cos (3 x)

2 cos^{2} (θ) + 3 sin (θ) - 3 = 0

What is the general solution for sin(x)= pi/6 ?
The general solution for sin(x)= pi/6 is x=0.55106…+2pin,x=pi-0.55106…+2pin