Find the rectangular coordinates of the point that has polar coordinates , 4, −3π/4

1 answer:

6 0

Hello :
x= r cosθ
y= r sinθ
r = 4 and θ = −3π/4
cos( −3π/4 ) = cos( 3π/4 ) = cos ( π - π/4) = - cos (π/4)= - √2/2
sin( −3π/4 ) = - sin( 3π/4 ) = - sin ( π - π/4) = -sin (π/4)= - √2/2
x = - 2 √2
y = - 2 √2

You might be interested in

4. The cube root parent function is vertically stretched by a factor of 3, reflected in the x-axis,

Mademuasel [1]

Using translation concepts, it is found that the equation that represents the new function is:

$y = -3\sqrt[3]{x} - 8$

The cube root parent function is given by:

$y = \sqrt[3]{x}$

<h3>Translation:</h3>

The function goes through these following translations:

Vertically stretched by a factor of 3, that is, it is multiplied by 3, hence $y = 3\sqrt[3]{x}$ .

Reflected over the x-axis, that is, it is multiplied by -1, hence $y = -3\sqrt[3]{x}$ .

Translated 8 units down, that is, 8 is subtracted from the function, hence $y = -3\sqrt[3]{x} - 8$ .

Then, the equation is:

$y = -3\sqrt[3]{x} - 8$

To learn more about translation concepts, you can take a look at brainly.com/question/13671886

3 0

2 years ago

Why is the sum of a rational number and a irrational number always irrational

zhannawk [14.2K]

Answer:

A rational number is a number able to be put into a fraction, an irrational number is not able to be. Therefore, when adding the two, the rational and the irrational will be irrational. For example, 2 is a rational number, and 1.8903 is irrational. If you add the two, you will get 3.18903, which is unable to be put into a fraction.

5 0

3 years ago

Please help me I’m trying to pass

Ksju [112]

Answer:

This violates community guidelines. You can't ask questions from a live test/quiz.

Step-by-step explanation:

6 0

3 years ago

What Number between 77 177can be divided evenly by 8

sergiy2304 [10]

176 divided by 8 = 22
So 176 can be evenly divided by 8