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数学 高校生

(2)の四角で囲っている所がなんでcos15やisin15となるのか分かりません。

基礎問 15 積と商 次の問いに答えよ. (1) 21=1+√3i, z2=1+i とするとき, Z1Z2, Z2 ⅡI. れぞれ求めよ. 1+√3 i 1+i (2) z= 精講 複素数の積や商の計算には,極形式が有効に働きます. それは, 次 のような関係式が成りたっているからです . を計算し, sin 15° の値を求めよ. Z2 = (coso+isin01), z2=12 (cos O2+isin02) と表されて いるとき, zizz=rarz{cos(O1+O2)+isin (01+02)} 21-¹¹(cos (01-0₂)+isin (0₁-0₂)} (TEEL, 22=0) 12 このことは,次のように表すこともできます. Ⅰ. |12|=|21||22| arg (2122) = argzi+argz2 21 22 122 21 の絶対値と偏角をそ 21 arg |= argz-argz2 注偏角の公式の表す意味は次の通りです. 13 で学んだ様に, 偏角は無数に存在していますから, Z1Z2の偏角と ( 21 の偏角 + Z2 の偏角) が一致するとは限りません. たとえば, argz = 200°, argz2=300° とすると argzi+argzz=500° です. しかしこのようなとき, 13 の によれば140℃=500°360°) と答えてよいので argz1z2=140° と答えるわけです. すなわち,この公式は 「Z1の偏角+ 22 の偏角 = 2122 の偏角のうちのどれか1つ」 という意味をもっているのです. (1)=2(cos60°+isin60°), z2=√2 (cos 45°+isín 45°) より |z|=2, argzı=60°|z2|=√2, argz=45° |12|=|1||22|=2√2 arg (Zizz) = argi+argzz=105° また、 (2) 2₂ 2= =√2 argzi-arg2=60°-45°=15° arg(21)=1 1+√√3i_ (1+√√3i)(1−i) _ (√ 3 +1)+(√3 −1)i 1+i (1+i)(1-i) 2 6- √√2 V6+√2 4 sin 15°= =15° ポイント また, (1) より z=21 だから、 Z2 演習問題 15 =√2 z=√2 (cos15° + isin 15° ① ② より -√²₁) 6-√2 4 II. Ⅰ. |2122|=|21||221, 112₁2₂=12₁12₂1 <arg (zizi) = argz: targz2 2₁2₁ 2₂ Z₂ 1221 21 arg (2₁)=; 22 arg (2122) = argitargz2 31 <arg Fargz-arg 2₂ =arg 2₁-arg 22 第2章 α=1+i, B=√3+i について, (1) dl, arga を求めよ.ただし, 0°≦arga <360°とする. (2)y=- = ℓe とおくとき, yl, argy を求めよ.ただし, 180°≦argy <180°とする.

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英語 高校生

教えてください お願いします🙇‍♀️

17 Traveling in Taiwan from Tokyo. It is about the same size as Kyushu. Taiwan is close to Japan. It only takes about four hours to get there by plane One popular tourist spot is Taipei 101. It is a 508-meter-tall building in the city of Taipei. It is the tallest building in Taiwan and it looks like a bamboo tree. If you go up the building, you can have a great view of Taipei. At the northern end of Taiwan, there is a small area (call) It is a lovely area with stone steps and red lanterns. There are many old buildings, small shops and restaurants. Jiufen. 2 Lanterns give a wa warm light in the evening. Don't miss the food in Taiwan. You can find food stalls all over Taiwan, particularly at night markets. They sell all kinds of local food: noodles, shaved ice and milk tea with tapioca. The local food is delicious and cheap. There are so many things (see) and do in Taiwan. I'm sure you will like it. A 次の文が下線部とほぼ同じ意味になるように,( )内に適切な語を書きなさい。 ) ( It is taller ( ) ( 3 B ② 3の()内の動詞を適切な形にしなさい。 ただし, 1語とは限らない。 (3 Notes C 本文の内容にあわないものを1つ選び,記号を書きなさい。 7 It takes about four hours from Tokyo to Taiwan by plane. ✓ Taiwan is as large as Kyushu. In Jiufen, we can see warm lights of lanterns all day long. I We can eat the local food at the night market at low price. ジャーマ Taiwan northern 北の food stall spot tourist きゅうふん Jiufen JG(L) night market iti ) building in Taiwan. SOUND 10 Taipei (%) bamboo lantern ちょうちん tapioca タピオカ stone step # shaved ice かき氷 -tit 17

解決済み 回答数: 1
英語 高校生

時間を意識して解きたいのですが、目安時間が分からないです。偏差値60を近いうちの目標にしている者です。 これは400 word 神奈川大学の問題です。記述が4問、選択が2問という点も考慮して目安時間を教えて頂けると嬉しいです。お願いします。

400 words/ Unit 7-Language - 1 All over the world, there are hundreds of languages that will soon disappear, some of them spoken only by a single person. "Languages are now dying at a faster rate than ever before," said David Harrison, a professor of language studies. Harrison has traveled the world to interview the last speakers of languages that are in danger of disappearing. 5 2 Bolivia* has a far greater variety of languages than all the countries of Europe combined. but they are increasingly threatened by dominant languages such as Spanish. In Bolivia, Harrison met with people who have used certain plants as medicine since the time of the Inca Empire*. Besides a common local language, they also maintain a secret language to name thousands of plants used as medicines, some unknown to science. 10 3 (1) When a language is lost, centuries of human thinking about such things as animals and plants may be lost with it. Eighty percent of existing species have not yet been discovered by science. However, (2) this does not mean that they are unknown to humans, because the people who live close to them know those species (3)intimately. They often have more detailed ways of classifying them than science does. 15 4 In Micronesia*, there are a handful of people who can sail across thousands of kilometers of ocean without any modern instruments of navigation. Their languages have a special set of terms for these skills. If their languages are lost, (4)their navigational skills will be lost, too. 5 Children are often the ones who decide to abandon a native tongue. "(5)It's actually the children, not the parents, who have the power to make the decision that will affect the 20 community and the future of their language," Harrison said. He was encouraged by an experience he had in Australia, when he watched a woman in her eighties teaching her language to schoolchildren. She was one of only three speakers of an aboriginal* language. The lesson was about plants which are used as medicine in aboriginal culture. 6 "The children had chosen to learn the language - no one forced them. When we 25 asked why they were learning it, they said, 'This is a dying language. We need to learn it.' The woman waved the plants in front of the children and said something in her language about them, which they repeated. It was an amazing thing to watch her communicate that knowledge to the children. That inspired us greatly." quor 左の英文を読み、下の各問いに答えなさい。 ごとの SPONS 1. 下線部 (1) を日本語に直しなさい。 ただし, it が何を指すのかわかるようにすること。 下線部 (3) の意味として最も適切なものを選びなさい。 [3. with a deep knowledge 3 in one's private life 2. 下線部 (2) を日本語に直しなさい。 ただし, this が何を指すのかわかるようにすること。 5. 下線部 (5) を日本語に直しなさい。 3050 in a friendly manner 4 in secret 4. 下線部 (4) はどのような技術か, 日本語で説明しなさい。 2x030 D 6. 本文の内容に合うものを2つ選びなさい。 Harrison has traveled even in dangerous places to interview the last speakers of disappearing languages. The total number of languages in Bolivia alone is larger than that of all the languages used in Europe. From a scientific point of view, the medical plants used in Bolivia have little value. An old woman in Australia was teaching her language to children, but they did not want to learn it. The old woman was teaching not only her language, but also her knowledge about medical plants in her aboriginal culture. istory Culture anguage ociety Health Science Nature

解決済み 回答数: 1