Question

Center of gravity of cos x and sin x. What is the relationship between the center of gravity of cos x and sin x?

A) They are at the same point
B) They are on opposite sides
C) There is no relationship
D) It depends on the amplitude

Answer 1

The center of gravity of cos x and sin x will be at the same point in the interval from 0 to 2π.

Step-by-step explanation:

Relationship Between Center of Gravity of cos x and sin x

The center of gravity of a function is the average position at which the weight of an object can be considered to act. In the case of functions like cos x and sin x, the center of gravity will depend on the specific interval over which the functions are defined.

If we consider the interval from 0 to 2π, the center of gravity of cos x will be at π/2 and the center of gravity of sin x will be at π/2 as well. Therefore, in this specific interval, option A) They are at the same point is correct.