What is COS X over sin x?

What is COS X over sin x?

tan x = sin x cos x . The cotangent of x is defined to be the cosine of x divided by the sine of x: cot x = cos x sin x .

What is the limit of cos theta?

cosθ≤sinθθ≤1. (These inequalities hold for all values of θ near 0, even negative values, since cos(−θ)=cosθ and sin(−θ)=−sinθ.)

Does Sin Cos Tan?

Sin is equal to the side opposite the angle that you are conducting the functions on over the hypotenuse which is the longest side in the triangle. Cos is adjacent over hypotenuse. And tan is opposite over adjacent, which means tan is sin/cos. this can be proved with some basic algebra.

When can a limit not exist?

Limits typically fail to exist for one of four reasons: The one-sided limits are not equal. The function doesn’t approach a finite value (see Basic Definition of Limit). The function doesn’t approach a particular value (oscillation).

What is the limit of sin?

Since sin(x) is always somewhere in the range of -1 and 1, we can set g(x) equal to -1/x and h(x) equal to 1/x. 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.

What is infinity divided by zero?

Infinity is not a real number, and even if it were, it wouldn’t be the answer to dividing something by zero. There is no number that you can multiply by 0 to get a non-zero number. There is NO solution, so any non-zero number divided by 0 is undefined.

Is negative infinity the same as infinity?

No. In number sets in which positive and negative infinity are both defined, they are not equal. There are sets, such as the extended complex numbers, in which there is only one kind of infinity, but they attach no meaning to infinity being positive or negative.

What’s infinity divided by infinity?

Therefore, infinity divided by infinity is NOT equal to one. Instead we can get any real number to equal to one when we assume infinity divided by infinity is equal to one, so infinity divided by infinity is undefined.