Cot^2x-csc^2x=-1 for all values of x true or falsse

2 answers:

4 0

Our basis for this equality is the pythagorean theorems of trigonometry. There are three equations for the pythagorean theorems. These are:

sin²x + cos²x =1
1 + tan²x = sec² x
1 + cot² x = csc² x

These are all derived from circle geometry on the cartesian plane. Now, the useful trigonometric property to be used is the third one. Rearranging this, we come up with

cot²x - csc²x = -1

This coincided with the given equation. Therefore, this is true. This is because it is already established from the pythagorean theorems.

Korolek [52]3 years ago

3 0

Answer: True Apex

Step-by-step explanation:

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Suppose y varies directly with x and y=12 when x=-3 what is the value of y when x=6?

coldgirl [10]

Answer:

A. -24

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a directly or proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

In this problem we have

For x=-3, y=12

Find the value of the constant of proportionality k

$k=\frac{y}{x}$

substitute the given values

$k=\frac{12}{-3}=-4$

The linear equation is equal to

$y=-4x$

what is the value of y when x=6?

substitute the value of x in the linear equation and solve for y

$y=-4(6)=-24$

7 0

3 years ago

What is the distance between point W and X to nearest hundredth?

quester [9]

Answer: 16.97

<u>Step-by-step explanation:</u>

To find the distance from W to X, you can use the distance formula ...or... draw a right triangle using W and X as the vertices and use Pythagorean Theorem to find the hypotenuse. I will solve using the latter.

The y-distance from W to X is 12.

The x-distance from W to X is 12.

hypotenuse² = 12² + 12²

= 144 + 144

= 288

hypotenuse = $\sqrt{288}$