Question

The equation of a simple harmonic motion is given by, x = 8 sin (8πt) + 6 cos (8πt), the initial phase angle is ______

Options

• tan^-1 (4/3)

• tan^-1 (3/4)

• tan^-1 (2/3)

• tan^-1 (5/8)

Answer 1

The equation of a simple harmonic motion is given by, x = 8 sin (8πt) + 6 cos (8πt), the initial phase angle is tan^-1 (3/4).

Explanation:

`Φ = tan^-1("b"/"a") = tan^-1(6/8) = tan^-1(3/4)`