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

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

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sin(a)= 1/5

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

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

Degrees

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

Solution steps

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

Apply trig inverse properties

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

General solutions for

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

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

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

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

Show solutions in decimal form

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

θ, cos (θ) = \frac{2}{3}

x, arcsin (x) = arccos (y)

sin (x) = \frac{4.9}{7.5}

\frac{1}{cos ( x )} + sec^{2} (x) - 1 - cos (x) = 0

(sin (x) + cos (x))^{2} = 0

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