Question

The function G(x) = sin(x) is the result of the application of transformations
on the original function F(x) = cos(x). Which of the following options
correctly describes the transformations applied to F(x)?
A. A phase shift of n radians
B. A vertical shift of -1 unit
T
C. A phase shift of radians
2
a
D. A vertical shift of 1 unit
Sell

Answer 1

Answer: shifted by π/2 radians

Step-by-step explanation:

The function sine of 'x' can be equated to the function cosine of 'x' by shifting cosine by 180 degrees. In math words:

$sin(x)=cos(x-180)$

The value 180 degrees in radians would be π/2. Therefore, in radians:

$sin(x)=cos(x-\pi /2)$

The 'x' inside of the functions is called the argument, and the value added or subtracted to the argument is the phase. The correct answer would be that sine is equal to cosine shifted by a phase of π/2 radians