Express the complex number in trigonometric form.
1 answer:
-5i can be written as 0 + (-5)i
It is in the form a+bi where a = 0 and b =-5
So the point (a,b) is (0,-5)
The distance from the origin to this point is 5 units, therefore r = 5. This is the magnitude.
The angle is 270 degrees as shown in the attached image. You start on the positive x axis and rotate until you reach the point (0,-5)
This is why the answer is choice A) 5(cos(270) + i*sin(270))
It is in the form a+bi where a = 0 and b =-5
So the point (a,b) is (0,-5)
The distance from the origin to this point is 5 units, therefore r = 5. This is the magnitude.
The angle is 270 degrees as shown in the attached image. You start on the positive x axis and rotate until you reach the point (0,-5)
This is why the answer is choice A) 5(cos(270) + i*sin(270))
You might be interested in
I would say commutative.
Hey there!☺
In our first step, we will simplify both sides of the equation:
Now subtract 4 from both sides:
In our last step, we will divide both sides by -2:
x=-7/2 is your answer.
Hope this helps!☺
Given:
The table for a geometric sequence.
To find:
The formula for the given sequence and the 10th term of the sequence.
Solution:
In the given geometric sequence, the first term is 1120 and the common ratio is:
The nth term of a geometric sequence is:
Where a is the first term and r is the common ratio.
Putting , we get
Therefore, the required formula for the given sequence is .
We need to find the 10th term of the given sequence. So, substituting in the above formula.
Therefore, the 10th term of the given sequence is 2.1875.