Find the three cube roots of z=−3+3i in trigonometric form. Please show your work :) ill give brainliest
1 answer:
Answer:
The Answer to your problem is 3 √ 2
Step-by-step explanation:
Step 1. Find 0 ( helps to plot z on complex plane)
z is in quadrant 4
0 is between -/z and 0
Step 2. Find modulus |z|
|z|= check mark 3 to the power of 2 + (-3) power of 2 = check mark, 9+9 = check mark 18 =check mark 9.
Step 3. Write out z in polar form
z = 3 check mark 2.
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<em>The table that shows the relative frequency of data is in the below further explanation.</em>
A set is a clearly defined collection of objects.
To declare a set can be done in various ways such as:
- With words or the nature of membership
- With set notation
- By registering its members
- With Venn diagrams
Multiplying set A x B is by pairing each member of set A with each member of set B.
<u>Example:</u>
<em>A = {1, 2, 3}</em>
<em>B = {a, b}</em>
Then
A x B = {(1, a), (1, b), (2, a), (2, b), (3, a), (3, b)}
Union of set A and B ( A ∪ B ) is rewriting each member A and combined with each member B.
Intersection of set A and B ( A ∩ B ) is to find the members that are both in Set A and Set B.
<u>Example:</u>
<em>A = {1, 2, 3, 4}</em>
<em>B = {3, 4, 5}</em>
A ∪ B = {1, 2, 3, 4, 5}
A ∩ B = {3, 4}
Let us now tackle the problem!
<em>A sports club has 84 members who learned baseball, and 42 of those members also learned basketball.</em>
Number of members who learned baseball but did not learn basketball will be ( 84 - 42 ) = 42 members
<em>There are 25 students who did not learn baseball but learned basketball</em>
<em>8 students did not learn either baseball or basketball</em>
<em>Total Number of Students = 42 + 42 + 25 + 8 = 117</em>
Table of relative frequency
- Mean , Median and Mode : brainly.com/question/2689808
- Centers and Variability : brainly.com/question/3792854
- Subsets of Set : brainly.com/question/2000547
Grade: High School
Subject: Mathematics
Chapter: Sets
Keywords: Sets , Venn , Diagram , Intersection , Union , Mean , Median , Mode
Length of the perpendicular ( opposite ) = 6 cm.
Length of the base ( adjacent ) = 8 cm.
The smallest angle of the triangle.
✅
In a right-angled triangle, if two sides are given, the measure of the unknown angle can be known.
Since the value of opposite and adjacent sides are given, we use the tangent formula.
tan θ =
✒ tan θ =
✒ θ = (0.75)
✒ θ = 36.9°
✒ θ = 37°
Now let us find the other unknown angle 'x'.
We know that,
Sum of angles of a triangle = 180°
✒ 37° + x + 90° = 180° (90° since it is a right-angled triangle)
✒ x + 127° = 180°
✒ x = 180° - 127°
✒ x = 53°
Therefore, the three angles of the triangle are 37°, 53° and 90°.
Hence, the smallest angle is 37°.
