Mathematics: Will make you ! which of the following is true of the values of x and y in the diagram below?

Will make you ! which of the following is true

Ответ:

WritingStar1313

15.01.2022

The answer is y/x=1
The image shown is a Unit circle
And if theta is pi/4 than the (x,y) coordinates of that point will both be sqrt2/2
If you divide a number by itself it equals 1

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Ответ:

bsndb5638

15.01.2022

Mathematics

The correct option is (D) $\dfrac{y}{x}=1.$

Step-by-step explanation: We are given to select the correct option that is true of the values of x and y in the diagram.

We can see from the figure that

the polar co-ordinates of the point (x, Y) are given by

$r=1,~~~\theta=\dfrac{\pi}{4}.$

The relation between the Cartesian and polar co-ordinates are as follows :

$x^2+y^2=r^2~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\\tan^{-1}\dfrac{y}{x}=\theta~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)$

Substituting the values of polar co-ordinates of the given point i the above equations, we get

$x^2+y^2=1^2\\\\\Rightarrow x^2+y^2=1,$

and

$\tan^{-1}\dfrac{y}{x}=\dfrac{\pi}{4}\\\\\\\Rightarrow \dfrac{y}{x}=\tan\dfrac{\pi}{4}\\\\\\\Rightarrow \dfrac{y}{x}=1.$

So, we get two equations :

$x^2+y^2=1,~~~\dfrac{y}{x}=1.$

Since first equation is not in the given options, so the correct one is

(D) $\dfrac{y}{x}=1.$

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Ответ:

mothertrucker2828

21.08.2021

Mathematics

hehehehe I don't know but I just want you to know that you are loved <3

Step-by-step explanation:

believe in god and spread the gospel please before it to late pls

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Will make you !
which of the following is true of the values of x and y in the diagram below?

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