All categories

3 years ago

F(x)=tan(x)

1 answer:

7 0

Tan(x) = sin(x) / cos(x). Therefore, tan(x) pi/2 = 1/0, which doesn't exist. Imagine that, instead of 0, it's a number incredibly close to 0. The smaller the number in the denominator, the bigger the outcome. Therefore, we can think of 1/0 as infinity, or approaching infinity as one gets closer to 1/0. This is the same result approaching from the negative side, only it's negative infinity. If x=0, it's 0/1 instead (sin 0=0, cos 0=1). Anything divided by 1 is itself, so as x approaches 0, so does f(x).

You might be interested in

What is the equation of the following graph?

nignag [31]

Answer:

${y}^{2} = 24x$

Step-by-step explanation:

This is horizontal parabola.

It has a directrix at x=-6.

The vertex is (0,0).

The focus is (6,0)

The equation of this parabola is of the form

${y}^{2} = 4px$

Where (p,0) is the focus

By comparison, p=6

Therefore the equation of the parabola is

${y}^{2} = 4 \times 6x$

This implies that

${y}^{2} =2 4 x$

6 0

4 years ago

Which system is equivalent to

sammy [17]

Answer:

D) 6x^2 - 8y^2 = 50

-6x^2 - 2y^2 = 11

Step-by-step explanation:

We are given the following two expressions:

$3x^2-4y^2=25$

and

$-6x^2-2y^2=11$

Now if we look at the option D) $6x^2 - 8y^2 = 50
$ and $-6x^2 - 2y^2 = 11$ , we can observe that the earlier part in the given expression is just a simplification of 6x^2 - 8y^2 = 50.

$6x^2 - 8y^2 = 50\\\\2(3x^2-4y^2) = 50\\\\3x^2-4y^2 = \frac{50}{2} \\\\3x^2-4y^2=25$

and the later part $-6x^2 - 2y^2 = 11$ is already the same.

Therefore, the correct answer option is D) 6x^2 - 8y^2 = 50

-6x^2 - 2y^2 = 11.

6 0

3 years ago

Read 2 more answers

Find the LCM of the numbers using prime factorizations. 36,60

alexandr402 [8]

36=2*2*3*3=2²*3²
60=2*2*3*5=2²*3*5

LCM(36,60)=2*2*3*3*5=2²*3²*5=180

5 0

3 years ago

Which of the following is the simplified form of 6x−5−7x≥−12?

Anna35 [415]

-x>-7 is the answer the line
_

5 0

3 years ago

HELP FOR 30 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!1

netineya [11]

I would say the last one is B, because of you use a calculator you will see that the equation adds up to B. Also if you have any trouble with your math download the app Photomath. It changed my life! Hope this helps

4 0

3 years ago