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KengaRu [80]
3 years ago
9

The angle between the complex numbers 2+2i and -7

Mathematics
1 answer:
anygoal [31]3 years ago
5 0

Answer:Consider the right triangle formed by the complex number in the Argand-Gauss plane and it's projections on the axis. – José Siqueira Nov 12 '13 at 17:21

In particular what is the definition of sine of theta in terms of the known sides of the above mentioned right triangle? – Adam Nov 12 '13 at 17:27

Add a comment

3 Answers

1

Consider the following Argand-diagram

enter image description here

The y-axis is the imaginary axis and the x-axis is the real one. The complex number in question is

x+yi

To figure out θ, consider the right-triangle formed by the two-coordinates on the plane (illustrated in red). Let θ be the angle formed with the real axis.

tanθ=yx

⟹tan−1(yx)

The hypotenuse of the triangle will be

x2+y2−−−−−−√

Therefore,

Step-by-step explanation:

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4 0
3 years ago
The volume of a prism is 702 cubic inches of the length is 13 inches and the width is 6 inches what is the height
balu736 [363]

volume = L x W x H

702 = 13 x 6 x h

702 = 78 x h

702/78 = h

h = 9



8 0
3 years ago
Can u help this helpless 9th grader ?
nexus9112 [7]

Answer:

y = 4x + 32

Step-by-step explanation:

Given: Temperature at sunrise = 32°F

y is the temperature after x hours of sunrise

Temperature change is 4°F/hour.

The equation of a line in slope intercept form is given by

y = mx +c

where m is the slope, which is the change in value of y to the value of x

and c is the value of y at x = 0

At sunrise, x =0 and y =32

∴ c = 32

Also we see that the change in temperature to that of time is 4/1 = 4

∴ m = 4

Substituting the values of m and c in the equation of line, we have

y = 4x +32


7 0
3 years ago
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7 0
3 years ago
line L passes through point (2, -5) and is perpendicular to the line with equation y=7. determine the equation of line L
Andrew [12]

Answer:

The equation of the line L is x=2

Step-by-step explanation:

we know that

The line y=7

Is a horizontal line (parallel line to the x-axis)

The slope of a horizontal line is equal to zero

A line L perpendicular to the given line must be a vertical line (parallel to the y-axis)

The slope of the line L is undefined

The line L passes through the point (2,-5)

therefore

The equation of the line L will be equal to the x-coordinate of the given point

x=2

7 0
3 years ago
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