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

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

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sin(x)=-3/5

sin (x) = - \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 = 216.86989 \dots^{\circ} + 36 0^{\circ} n

Solution steps

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

2 tan (x) cos (x) - tan (x) = 0

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

tan (3 x) = \frac{3}{3}

sin (x) tan (x) = sin (x)

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

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