What is the general solution for (sin(x))/1 = 3/5 ?

The general solution for (sin(x))/1 = 3/5 is x=0.64350…+2pin,x=pi-0.64350…+2pin

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(sin(x))/1 = 3/5

\frac{sin ( x )}{1} = \frac{3}{5}

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

Degrees

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

Solution steps

\frac{sin ( x )}{1} = \frac{3}{5}

Apply rule

\frac{a}{1} = a

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

Apply trig inverse properties

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

General solutions for

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

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

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

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

Show solutions in decimal form

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

x, e^{y} = tan (x + \frac{π}{3})

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

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

tan^{2} (θ) sin (θ) = tan^{2} (θ)

cos (x) = \frac{1}{cot ( x )}

What is the general solution for (sin(x))/1 = 3/5 ?
The general solution for (sin(x))/1 = 3/5 is x=0.64350…+2pin,x=pi-0.64350…+2pin