Question

Phase shift of √3 cosx + sinx​

Answer 1

Step-by-step explanation:

Determine the amplitude and phase shift of f(x)=3–√cos2x−sin2x

Attempted solution:

The amplitude can be calculated by:

A=(3–√)2+(−1)2−−−−−−−−−−−−√=4–√=2

The sine and cosine of the phase shift then becomes

sinδ=3–√2, cosδ=−12

because the factor before cosine goes into the sine equation and vice versa.

The δ that fulfills these two criteria is π3. In other words,

A=2