◆ COMPLEX NUMBERS ◆

125 ( cos 288 + i sin 288 ) can be written as -

125.e^i( 288)
125.e^i( 288 +360 )
125.e^i( 288+ 720)

[ As , multiples of 360 can be added to an angle without changing any trigonometric functions or sign ]

To find the cube root , take the cube root of above 3 expressions ,

We get -
5 e^( i 96 )
5 e^( i 216 )
5 e^( i 336 )

Now using Euler's formula , We rewrite above as -

5 ( cos 96 + i sin 96 )
5(c os 216 + i sin 216 )
5 ( cos 336 + i sin 336 ) Ans.

6 0

3 years ago

URGENT: Create a linear system whose ONLY SOLUTION is (3,13) . I just need the equations for f(x)=? , G(x)=? To get (3,13). ASAP

Otrada [13]

The solution of (3,13) means you need to create two lines that satisfy x = 3 and y = 13

The two lines can be anything as long as they give this solution

For example, if you wrote x + y = 16 (you know their values already)

Then write another y - x = 10

From here you have your equations, turn them into the f(x) form.

x + y = 16 can be turned into y = 16 - x which is f(x)=16-x

y-x = 10 can be turned into y = 10 + x which is g(x)=10 + x

8 0

3 years ago

Jason is three roommates share the cost of the electric bill $108 evenly

I am Lyosha [343]

Its $36 if it is only for his three roommates
and
$27 if it is only for his three roommates w/ Jason

4 0

3 years ago

The following set of numbers represents the number of hours a group of students spent reading over the course of two weeks.

irina1246 [14]

Answer:

i don't know. sorry!

Step-by-step explanation:

5 0

2 years ago