The value of sin and cos infinity lies between -1 to 1. There are no exact values defined for them. The value of sin x and cos x always lies in the range of -1 to 1. Also, ∞ is undefined thus, sin(∞) and cos(∞) cannot have exact defined values.

Sin infinity is not defined. takes the value from 0 to 1 (0 degrees to 90 degrees), then returns to 0 ate , then voves to 270 degrees in the 3rd quadrant when the value is minimum, than bact to 0 degrees (or 360 degrees).

Let α,δ∈R such that sin(α)=a and sin(δ)=b. Let (un)=α+2πn and (vn)=δ+2πn and f(x)=sin(x). Because these last limits aren't equal, the sine function don't have limit to infinity. Is this proof correct?

The limit does not exist. Most instructors will accept the acronym DNE. The simple reason is that cosine is an oscillating function so it does not converge to a single value.

In trigonometry, the sine function can be defined as the ratio of the length of the opposite side to that of the hypotenuse in a right-angled triangle. The sine function is used to find the unknown angle or sides of a right triangle.

Infinity is infinite, or a really large number that is impossible to count to. So, Infinity / Infinity would be infinity because infinity is infinite, so its forever counting, that is a trick question.

The value of sin and cos infinity lies between -1 to 1. There are no exact values defined for them. The value of sin x and cos x always lies in the range of -1 to 1. Also, ∞ is undefined thus, sin(∞) and cos(∞) cannot have exact defined values.

We know that the limit of both -1/x and 1/x as x approaches either positive or negative infinity is zero, therefore the limit of sin(x)/x as x approaches either positive or negative infinity is zero.

We say that as x approaches 0, the limit of f(x) is infinity. Now a limit is a number—a boundary. So when we say that the limit is infinity, we mean that there is no number that we can name.

Sine was introduced by Abu'l Wafa in 8th century, as a more convenient function, and gradually spread first in the Muslim world, and then to the West. (But apparently it was used in India centuries before him), as a more convenient function. However this new notation was adopted very slowly, it took centuries.

Matthew 12:30: "Whoever is not with me is against me, and whoever does not gather with me scatters. Therefore I tell you, people will be forgiven for every sin and blasphemy, but blasphemy against the Spirit will not be forgiven.

The sine is always the measure of the opposite side divided by the measure of the hypotenuse. Because the hypotenuse is always the longest side, the number on the bottom of the ratio will always be larger than that on the top.