Question

How does you find phase shift in a trigonometric function y=csc(2*Θ+π)-3?

Answer 1

Please see the explanation.

Explanation:

The general form:

`y = (A)csc(Btheta + C) + D`

The amplitude is A
The period, `T = (2pi)/B`
The phase shift, `phi = -C/B`
The vertical shift is D

In the given equation:

`y = csc(2theta+pi) - 3`

`B = 2, and C = pi` therefore the phase shift `phi = -pi/2`