Respuesta :

A component of the interval is x (π/4, 5π/4) when 5 sin(x) > 5 cos(x).

What does a math inequality mean?

A relation in mathematics that compares two numbers or even other mathematical expressions in an unequal way is known as an inequality. When comparing two numbers on a number line, it is most frequently used to compare their sizes.

According to the given information:

5 sin(x) > 5 cos(x)

To removing constant we divide both the side by 5:

5sin(x) > 5 cos(x)

sin(x) >  cos(x)

sin x > cos x;

sin x = cos x; tan x = 1; x = π/4 or x = 5π/4

sin x > cos x for x ∈ (π/4, 5π/4)

A component of the interval is x (π/4, 5π/4) when 5 sin(x) > 5 cos(x).

To know more about inequality visit:

https://brainly.com/question/11612965

#SPJ4

I understand that the question you are looking for is:

Find all values of x in the interval [0, 2] that satisfy the inequality. (Enter your answer using interval notation.) 5 sin(x) > 5 cos(x)