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

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

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sin(x)a=pi

sin (x) a = π

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

Solution steps

sin (x) a = π

Divide both sides by

a; a \neq = 0

sin (x) a = π

Divide both sides by

a; a \neq = 0

\frac{sin ( x ) a}{a} = \frac{π}{a}; a \neq = 0

Simplify

sin (x) = \frac{π}{a}; a \neq = 0

sin (x) = \frac{π}{a}; a \neq = 0

Apply trig inverse properties

sin (x) = \frac{π}{a}

General solutions for

sin (x) = \frac{π}{a}

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

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

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

sin (5 x) + sin (x) = 0

cot^{2} (x) + csc^{2} (x) = 3

2 tan (x) = 0

5 cos (2 θ) = 15 cos (θ) - 10

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

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