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

The general solution for sin(x)a= pi/3 is x=arcsin(pi/(3a))+2pin,x=pi+arcsin(-pi/(3a))+2pin

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sin(x)a= pi/3

sin (x) a = \frac{π}{3}

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

Solution steps

sin (x) a = \frac{π}{3}

Divide both sides by

a; a \neq = 0

sin (x) = \frac{π}{3 a}; a \neq = 0

Apply trig inverse properties

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

sin (x - \frac{π}{2}) = cos (x)

cos (θ) = \frac{6}{14 \cdot 9}

sin (θ + \frac{π}{4}) = \frac{1}{2}

(cot (x) - 1) (sin (x) - 1) = 0

x, sin (y) + cos (x) = 1

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