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

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

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sin(a)=-3/5

sin (a) = - \frac{3}{5}

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

Degrees

a = - 36.86989 \dots^{\circ} + 36 0^{\circ} n, a = 216.86989 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (a) = - \frac{3}{5}

Apply trig inverse properties

sin (a) = - \frac{3}{5}

General solutions for

sin (a) = - \frac{3}{5}

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

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

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

Show solutions in decimal form

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

cot (x) = cot (3 x - 50)

sinh (x) = - 6

tan (θ) = \frac{2}{2}

sin (θ) = \frac{33}{55}

2 cos (x) - 4 = - 3

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