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3 years ago

What is the quadrants of a graph

Mathematics

1 answer:

lesya692 [45]3 years ago

7 0

Answer:

The quandrants on a grap are basically the groups on the graph like quadrant I ,II ,III , and IV hope that helps

Step-by-step explanation:

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Verify the identity tan(???? − ????) = tan(????)−tan(????) / 1+tan (????) tan(????) for all (???? − ????) ≠ ???? / 2 + ????n.

Anna11 [10]

Answer:

See the proof below.

Step-by-step explanation:

For this case we need to proof the following identity:

$tan(x-y) = \frac{tan x - tan y}{1 + tan x tan y}$

So we need to begin with the definition of tan, we know that $tan x = \frac{sin x}{cos x}$ and we have this:

$tan (x-y) = \frac{sin(x-y)}{cos(x-y)}$ (1)

We also have the following identities:

$sin (a-b) = sin a cos b - sin b cos a$

$cos(a-b) = sin a sin b + cos a cos b$

And if we apply those identities into equation (1) we got:

$tan(x-y) = \frac{sin x cos y - sin y cos x}{sin x sin y + cos x cos y}$ (2)

We can divide numerator and denominator from expression (2) by $\frac{1}{cos x cos y}$ like this:

$tan(x-y) = \frac{\frac{sin x cos y}{cos x cos y} - \frac{sin y cos x}{cos x cos y}}{\frac{sin x sin y}{cos x cos y} + \frac{cos x cos y}{cos x cos y}}$

And if we simplity we got:

$tan(x-y) = \frac{tan x - tan y}{tan x tan y +1 }$

And with that we complete the proof. And that appies for all $(x-y) \neq \frac{\pi}{2} +n\pi$

6 0

4 years ago

Which answer best describes the solution to the equation

Mazyrski [523]

$5z + 4 = 4 + 5z \\ \\ Infinite \ Solutions \\ \\ Answer: \fbox {C) Infinite Solutions}$

5 0

4 years ago

The set of data in the table below represents a linear function.

Vinil7 [7]

Answer:

y = 2x - 19

Step-by-step explanation:

Graph the points on the table and you'll be able to see the answer. That's how I went about it.

or use m = y^2 - y^1 divided by x^2 - x^1 to find the slope, then solve for the initial value from there

8 0

1 year ago

Write an algebraic expression for: The quotient of a number and twelve.

Arisa [49]

The quotient of a number and 12

Quotient means division.

The answer is C.) n/12

If you have any questions feel feee to ask.

Hope this helps.

3 0

3 years ago

When 7 is subtracted from five times a number, the result is greater than twice the sum of the number and 4. Find all the number

hichkok12 [17]

Given :

When 7 is subtracted from five times a number, the result is greater than twice the sum of the number and 4.

To Find :

All the numbers that satisfy the inequality.

Solution :

Let , the number is x .

Mathematical expression for first term is :

5x - 7

Mathematical expression for second term is :

2(x + 4)

Now , comparing both the expression by given constrain.

$5x - 7 > 2(x + 4)\\\\5x-7>2x+8\\\\3x>15\\\\x>5$

So, all the numbers that satisfy the inequality are greater than 5.

Hence , this is the required solution.

3 0

3 years ago