What is the general solution for roots asin(t) ?

The general solution for roots asin(t) is a=0,t=2pin,t=pi+2pin

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roots asin(t)

roots

a sin (t)

a = 0, t = 2 πn, t = π + 2 πn

Solution steps

a sin (t)

The roots are the intercepts with the x-axis

(y = 0)

a sin (t) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

a = 0 or sin (t) = 0

a = 0

Solve

sin (t) = 0 : t = 2 πn, t = π + 2 πn

The solutions are

a = 0, t = 2 πn, t = π + 2 πn

\int sin (\frac{nπ x}{2}) d x

\int e^{c o s (16 t)} sin (16 t) d t

\int y^{2} cos (x) d x

y = sin (x), y = sin^{3} (x), x = 0, x = \frac{π}{2}

y^{^{''}} + 16 y = - 16 sin (4 t)

What is the general solution for roots asin(t) ?
The general solution for roots asin(t) is a=0,t=2pin,t=pi+2pin