The complex number -5i has the complex trigonometric form of 5(cos 270o + isin 270o) Determine if the statement given is true or
false.
2 answers:
Answer:
truue
Step-by-step explanation:
just did the quiz on edg
Answer:
TRUE
Step-by-step explanation:
A complex number is represented as z = x + iy
Given the complex number -5i, this can also be written as;
z = 0-5i
Get the modulus
|z| = √0²+(-5)²
|z| = √25
|z| = 5
Get the argument
theta = arctan(y/x)
theta = arctan(-5/0)
theta = arctan(-∞)
theta = -90degrees
Since tan is negative in the 2nd and fourth quadrant
in the fourth quadrant, theta - 360 - 90
theta = 270 degrees
Express in polar form;
z = |z|(cos theta + i sintheta)
z = 5(cos270°+ison270°)
Hence the statement given is TRUE
You might be interested in
Given:
AC = √(-2-3)² + (6-2)²
AC = √ -5² + 4²
AC = √ 25 + 16
AC = √41
AC = 6.40
I am assuming that the triangle is an equilateral triangle. This means that all sides are equal.
AC = AB = BC
Perimeter = 6.40 * 3 sides = 19.20
Answer:
1st one
Step-by-step explanation:
90.
You can get this by plugging into the equation.
h(-6) = 2(-6)^2 - 3(-6)
h(-6) = 72 + 18
h(-6) = 90
Answer:
x > 23
Step-by-step explanation:
Subtract 7 on both sides in the equation: x + 7 > 30
You will get x > 23
Answer:
There's no question here or picture
Step-by-step explanation:
