How to calculate the trigonometric form and operation of complex number (- 1 + √ 3I) ^ 6 - (- 1 - √ 3I) ^ 6

How to calculate the trigonometric form and operation of complex number (- 1 + √ 3I) ^ 6 - (- 1 - √ 3I) ^ 6

How to calculate the original formula = {2 [cos (2 π / 3) + isin (2 π / 3)]} & # 8310; - {2 [cos (4 π / 3) + isin (4 π) / 3)]} & # 8310; - {2 [cos (4 π / 3) + isin (4 π) / 3)]} & # 8310; = 2 & # 8310; [cos (4 π) + isin (4 π) - cosin (4 π)] = 0
(-1+√3i)^2=1-2√3i+3i^2=1-2√3i-3=-2-2√3i=-2(1+√3i)
So (- 1 + √ 3I) ^ 3 = - 2 (1 + √ 3I) (- 1 + √ 3I) = - 2 (3I ^ 2-1) = 8
So (- 1 + √ 3I) ^ 6 = (8) ^ 2 = 64
Similarly (- 1 - √ 3I) ^ 6 = 64
So (- 1 + √ 3I) ^ 6 - (- 1 - √ 3I) ^ 6 = 0
Given that complex Z satisfies Z + 1 / Z belongs to R, | Z-2 | = 2, find Z
These words and dates should be expressed in English
Children's Day June 1st Youth Day May 4th Women's Day March 8th April Fool's Day April 1st mother's Day May 2nd Sunday father's Day June 3rd Sunday Tree Planting Day March 12th
Children's day, June the first, youth day, may the fourth, women's day, Mar
Women's Day March, 8th
Children's Day June, 1st
Youth Day May, 4th
April Fool's Day April, 1st
Mother's Day The second Sunday of May
Father's Day the third Sunday of June
Arbor Day/ Tree Planting Day March, 12th
National Day Oct.1st
children's day June 1st
Youth's day May 4th
women's Day March 8th
April Fool's Day April 1st
Mother's Day on the second Sunday in May
Father's Day The third Sunday of June
Arbor Day March 12th
unfold before one's eyes
Children's Day June, 1st
Youth Day May, 4th
Women's Day March, 8th
April Fool's Day April, 1st
Mother's Day The second Sunday of May
Father's Day the third Sunday of June
Arbor Day/ Tree Planting Day March, 12th
Classify the following words, which are open syllable words and which are closed syllable words
name desk pen this hi grude spell clook he nine those hill next age same nice like sun go kite lesit black white which me line thank from doll make shop
Name hi grid he nine those age same nice like go kite white me line make
Junior high school English written expression, 30 words
Talk about your favorite animal and explain why. Write about panda!
My favourite animal Panda is my favouite animal.Panda is a kind of lovely animal.It is Chinese national treasure.Panda loves eating bamboos.The body of pandas are fat andconglobate.Its fur is black an...
The giant panda,one of the world 's most beloved animals.They live in China and only eat bamboo.
What are open syllable words, closed syllable words and stressed closed syllable words?
Open syllable and closed syllable
1. A syllable ending with a vowel or with a consonant (except R) and a silent vowel e is called an open syllable. The vowel in this syllable can read the name sound of the letter
Example: no / no / type / tap / me / MI: /
2. A syllable ending with a consonant (except R) is called a closed syllable. The vowel in this syllable reads the corresponding sound
Example: less / less / big / big /
That is: closed syllable and open syllable are only related to five vowels
The five vowels are a, e, I, O, U
The original pronunciation of these five vowels is AA [EI] EE [I:] II [AI] OO [u] [ju:]
When they read the original sound in a word, they are called open syllables
For example: A in name, I in like
These vowels can also pronounce other sounds in a word. For example, bag, cat, bed, desk, big and pig are called closed syllables
Stressed closed syllable refers to: this verb is stressed syllable, at the same time, the end of the word is also a closed syllable ending with a consonant
Syllables:
Monosyllabic: having a vowel in a phonetic sign; (monosyllabic is all accented without Accents)
Disyllabic: there are two vowels in the phonetic symbol; (there will be stress symbols in front of a syllable to be stressed)
Polysyllabic: a phonetic sign that contains three or more vowels
In junior high school English, what words should be followed by what forms to express what tenses or words?
For example, preposition + verb ing means gerund
1、 General present tense
1. Affirmative sentence: subject + verb prototype (- s, - es) + other
2. Negative sentence: subject + don't / doesn't + verb prototype + others
3. General sentence: do / does + subject + verb prototype + other?
2、 General past tense
1. Affirmative sentence: subject + Verb - ed + other
2. Negative sentence: subject + didn't + original verb + other
3. General sentence: did + subject + verb prototype + other?
3、 The present continuous tense
1. Affirmative sentence: subject + AM / is / are + Verb - ing + others
2. Negative subject + AM / is / are + not + Verb - ing + others
3. Am / is / are + verb ing + other?
4、 Past continuous tense
1. Affirmative sentence: subject + was / were + Verb - ing + others
2. Negative sentences: subject + was / were + not + Verb - ing + others
3. General sentence: was / were + subject + Verb - ing + other?
5、 General future tense
1. Affirmative sentence: subject + will / shall + original verb + others
2. Negative sentence: subject + won't / shan't + verb prototype + others
3. General sentence: was / shall + subject + original verb + other?
6、 Past future tense
1. Affirmative sentence: subject + would / should + original verb + others
2. Negative sentence: subject + would't / should't + verb prototype + others
3. General sentence: would + subject + verb prototype + other?
7、 The present perfect tense
1. Subject + have / has + past participle + other
2. Subject + haven't / haven't + past participle + other
3. Have / has + subject + past participle + other?
8、 Past perfect tense
1. Affirmative sentence: subject + had + past participle + other
2. Negative sentence: subject + hadn't + past participle + other
3. General sentence: had + subject + past participle + other?
From Baidu Library
What is preposition + verb ing for gerund? I've never heard of such a saying...
Classify the following words into open and closed syllables
face bag cute dog bike let cat these egg hi those it
she name go this bus
Face cut bike hi these those she name go
Closed syllable: bag dog let cat egg it this bus
P.S
Open syllable:
① Absolute open syllable: a stressed syllable with no auxiliary word after a single vowel. For example: no baby student secret she he we zebra
② Relative open syllable: a stressed syllable consisting of a single vowel followed by a single consonant and a silent letter E
Closed syllable:
Vowels followed by one or more consonants (except R and W) are called closed syllables
Junior high school English equivalents
What is the corresponding word of morning
Evening
Night
Evening
Night morning night
Are these words open or closed
student run game she nice map make these box home tube time guess big hot number ten man six go
Guess is the open syllable why?
Open syllable:
game she nice make these home tube time go
Closed syllable:
student run map box guess big hot number ten man six
Guess is a closed syllable. Are you wrong?