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

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

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3/5 =sin(x)

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

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

Solution steps

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

Switch sides

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

Apply trig inverse properties

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

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

cos^{2} (x) + cos^{3} (x) + cos^{4} (x) + cos^{5} (x) = 0

sin^{2} (x) - 4 sin (x) = - 3

1 + 7 sinh (x) = 4 cosh^{2} (x)

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

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