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## Homework Statement

An object in SHM oscillates with a period of 4.0 s and an amplitude of 10 cm. How long does the object to move from x = 0.0 cm to x = 6.0 cm?

## Homework Equations

x(t) = Acos(ωt +φ )

## The Attempt at a Solution

ω = π/2

Acosφ = 0 ⇒φ = ±π/2

Since object is moving to the right choose φ = -π/2

x(t) = Acos(ωt-π/2)

=Asinωt

=0.10sin(1/2)πt

My question is how why does Acos(ωt-π/2) = =Asinωt