What is the general solution for sin(o)= 3/5 ?

The general solution for sin(o)= 3/5 is o=0.64350…+2pin,o=pi-0.64350…+2pin

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sin(o)= 3/5

sin (o) = \frac{3}{5}

o = 0.64350 \dots + 2 πn, o = π - 0.64350 \dots + 2 πn

Degrees

o = 36.86989 \dots^{\circ} + 36 0^{\circ} n, o = 143.13010 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (o) = \frac{3}{5}

Apply trig inverse properties

sin (o) = \frac{3}{5}

General solutions for

sin (o) = \frac{3}{5}

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

o = arcsin (\frac{3}{5}) + 2 πn, o = π - arcsin (\frac{3}{5}) + 2 πn

o = arcsin (\frac{3}{5}) + 2 πn, o = π - arcsin (\frac{3}{5}) + 2 πn

Show solutions in decimal form

o = 0.64350 \dots + 2 πn, o = π - 0.64350 \dots + 2 πn

a cos (x) = cos (x)

4674.04 = \frac{5}{3 cos ( x )} \cdot 2804.42

sin (A) + 3 cos (A) = 0

x, 3 cot (x) - 1 = 0

- sin (x) = 3 cos (x)

What is the general solution for sin(o)= 3/5 ?
The general solution for sin(o)= 3/5 is o=0.64350…+2pin,o=pi-0.64350…+2pin