Find the intervals of increase of the function y = sinx over the entire domain of definition.

Given a function:

y = sin x.

To find the intervals of increase of the function, we find its derivative:

y ‘= cos x.

the function increases where its derivative is positive.

We solve the inequality:

cos x> 0;

We get:

-п / 2 + 2 * п * N <x <п / 2 + 2 * п * N, where N is an integer.



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.