Find the smallest positive period of the function f (x) = cos ^ 23x-sin ^ 23x.
| July 11, 2021 | education
Given a function:
y = cos ^ 23 x – sin ^ 23 x.
First, we transform the function formula using the definitions of the cosine of a double angle:
cos ^ 23 x – sin ^ 23 x = cos 46x.
y = cos 46x.
The period of the cosine function of the argument is 2 * P, which means that the smallest positive period of our function is:
T = 2 * P / 46 = P / 23.
One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.
