What is the general solution for sin(x)= 1/5 ?

The general solution for sin(x)= 1/5 is x=0.20135…+2pin,x=pi-0.20135…+2pin

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sin(x)= 1/5

sin (x) = \frac{1}{5}

x = 0.20135 \dots + 2 πn, x = π - 0.20135 \dots + 2 πn

Degrees

x = 11.53695 \dots^{\circ} + 36 0^{\circ} n, x = 168.46304 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = \frac{1}{5}

Apply trig inverse properties

sin (x) = \frac{1}{5}

General solutions for

sin (x) = \frac{1}{5}

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

x = arcsin (\frac{1}{5}) + 2 πn, x = π - arcsin (\frac{1}{5}) + 2 πn

x = arcsin (\frac{1}{5}) + 2 πn, x = π - arcsin (\frac{1}{5}) + 2 πn

Show solutions in decimal form

x = 0.20135 \dots + 2 πn, x = π - 0.20135 \dots + 2 πn

sin (x) = - \frac{2}{3}

sin (4 x) = \frac{3}{2}

- 3 sin (x) = 0

csc^{2} (x) - 2 csc (x) = 2 - 4 sin (x)

2 cos^{2} (4 x) - 1 = 0

What is the general solution for sin(x)= 1/5 ?
The general solution for sin(x)= 1/5 is x=0.20135…+2pin,x=pi-0.20135…+2pin