cos2aの2種類がなぜ符号がバラバラなのかわかりません。 cos2a＝1-2sin2a → 2sin2a-1 cos2a=2cos2a-1 2cod2a-1 は一緒ではないんでしょうか！ 個人的にこっちの方が覚えやすいなーと思ったのでこの方法... 続きを読む

[解説] 加法定理 ①, ③, ⑤ (p.205) において, βをαにおき換えると、しょって annial100 得られる。 ① sin(a+β)=sinacosβ+cosasinβ すなわち ③ cos(α+β)=cosacosβ-sinasinβ すなわち βα とおく sin2a=2sinacosa ゆえに β=α とおく sin(a+α) = sinaog また nie 00-x (+) 火に cos(a+a)= cosa cosa- cos 2a=cos²a-sin²a なんでちがう =1-2sin²a のが =2cos'α-1 sin?a=1-cosa を代入。 Costし このように, cos2aには3通りの表現があり、必要に応じて使い分ける。 ⑤ tan (c +R)= tana + tanβ tano+tane 0< cos?a=1-sina を代入。 sinat

⑦に入る2語を答える問題です！ 答えがfour hoursなのですが、なぜそうなるのですか？私はeight hoursだと思いました！！

10 15 20 5 6 次の英文は Olango という森の中にあるいくつかの村に住む動物たちの対話です。 これを読んで、あとの問いに えなさい｡ Ay 40 was ' Kabbu is head of the Post Office of Olango, a forest. Many kinds of animals live there. Kabbu and his tea carry letters all over Olango and to other forests. Kabbu's Post Office is very popular among all animals there. Ullu: Why are you so sad? Kabbu: *Probably we'll have to lose my job. Have you heard of the Internet? Ullu: Have humans planned to catch us with a new kind of net? Kabbu: No, no. I hear the Internet is new *technology. All the computers can talk to each other through the Internet. We can talk with everyone around the world by a computer. Leo has the newes computer. He is always using it. He has also made many friends through the Internet and talk with them for hours. Ullu started to think about the Internet after he listened to Kabbu's long report about it. Ullu: Tell me, Kabbu, why will you have to lose your job because of the Internet? Kabbu: Leo is now sending e-mails all over Olango and to other forests. He says everyone in this village will be able to use his computer and send e-mails from his computer. Now, if everyone starts sending e-mails, ① 私たちはどうすればよいのかわかりません。 45 Ullu: Wait, wait. Now what is 'e-mail'? I haven't heard of it. Kabbu: It means *electronic mail'. It is used to send every kind of letter from one computer to other computers through the Internet. It takes only *a second and it is almost free. Ullu: I can't believe it. Kabbu: It is true. So I am very sad and worried about it now. With a sad face, Kabbu flew away. Kabbu was the oldest animal in Olango and was respected a lot by Leo Ullu decided to go and meet Leo and talk with him. At Leo's house, Leo was sitting in front of his computer. Ullu: Leo, can you give me a few minutes? I have to talk about something important. Leo: What is it? Ullu: It is about Kabbu, but I think it may be about all of us. Leo: OK, tell me about it. Ullu: But Leo, I think 50 55 1 60 Ullu told Leo about Kabbu. Leo: Well, Kabbu's *concerns will be real. We usually think high speed and *efficiency are very important, so there is little *chance for old ways. I can send a message in a second through the Internet. But Kabbu and his team need a few days to carry one. Why should I *depend on them? And the *price of their mail is much higher than the price of e-mail. Ullu: But, Leo, what will happen to Kabbu and his team? Leo: They will have to 3 The Internet will become more important in the future and e-mail will be one of the most useful things. 4 trains in the future." But now, "No one will go to see a movie." But both... Leo: You may have a lot of things to say about it, Ullu, but soon e-mail will make Kabbu's mail *useless. Kabbu and his team should start looking for other jobs *after all! For example, when a plane was invented, people said, "No one will see trains still continue to run. When a TV was invented, everyone said.

22番の英文でなぜgaveが必要なんですか？？ battleだけで〜と戦うという意味があるくないですか？？

19 Counting the letters in each word/ 20 will give you pi.// 21 Another well-known sentence is / 22 Richard@f Vork gave battle.ên vain." // 23 Can you guess/ るさ」といった (文を) 各単語の文字の数を数えることが あなたに円周率を教えるでしょう もうひとつのよく知られている文が 「ヨーク公リチャードは戦ったがむだだった」です わかりますか

2の、別解の解き方がわからないです！ 詳しく教えていただけますか？

X5/2 10 (2 基本例題 29 不等式の証明 (絶対値と不等式) 次の不等式を証明せよ。 00000 ①1 la+bl≦|a|+|b| lal-b|sla-bl1000 p.38 基本事項 4. 基本 28 S A:基本的に、ブソウにとけばよい。 ⓐ(1)は反対でやってれ? OLUTION 2人ならであるんだーって思うのでOKです。 似た問題 1 結果を使う 2② 方法をまねる (2) ag-bでおきかえよう とするアイデアはどこから (1) 絶対値を含むので、このままでは差をとりにくい。 [AP=A2 を利用すると, 絶対値の処理が容易になる。 よって,平方の差を作ればよい。...... [ (2) 不等式を変形すると |a|≦la-61+16 (1) と似た形 ← そこで,(1) の不等式を利用することを考える。の方針 Oath =(a+b² 解答 xlatbl = atb. (1) |a|+|62-la+b1=(|a|+2|a||3|+162)-(a+b)2 [inf. A≧0 のとき Nathatb=a²+2ab+b2-(a²+2ab+b2) |-|A|≦A=|4| =2(ab-ab) ≥0 ...... A<0 のとき x(1) -|A|=A<|A| しまって (a+b=(|a|+|6|)² であるから一般に |a+b≧0,|a|+|6|≧0であるから -|A|SASA |a+6|≦|a|+|6| 更に,これから 30 $=x√&st 別解-|a|≦a≦|al, -16|≦b≦|6|であるから |A|-A≥0, |A|+A≥0 辺々を加えて __(|al+16)≦a+b≧la|+|6| of+s |a|+|6|≧0であるから la+b≦|a|+|6| ◆c≧0 のとき -c≤x≤c = |x|≤c (2) (1) の不等式の文字α を a-b におき換えて そのとき x≤-c, c≤x | (a-b)+6|≦la-6|+|6| $30 $=1, @[x]c |a|≦|a-6|+|6| よって ゆえに lal-lb|sla-bl 別解 [1] |a|-|6| < 0 すなわち |a| <|6| のとき (左辺)<0, (右辺)>0 であるから不等式は成り立つ。 [2] |a|-|6|≧0 すなわち ! la-b²²-(al-|b)=(a-b)²-(a²-2|ab|+b²) 号付録=2(−ab+lab)≧0 よって (al-b)²≤la-b1² |a|-|6|≧0, la-6|≧0であるから alal-lb|sla-bl=2007 CHART O 47 ものは存在するから 1章 (2) 2 2②の方針が負 の場合も考えられるの ≧のときで、平方の差を作るには 場合分けが必要。 inf 等号成立条件 (1) は ① から |ab|=ab, すなわち, ab≧0のとき。 よって, (2) は (a-b)≧0 ゆえに(a-b≧0かつb≧ または (a-b≦0かつb≧ すなわち a b≧0 また a≦b≧0のとき。 TOL 等式・不等式の証明

わかる方教えて欲しいです🙏🏻

●伏見稲荷大社は,外国人観光客の問では日本で最も人気のある観光地です。 go on anime tours. Some go to ninja villages. Others try sushi, ud 本文の内容に合うように,空所を埋めましょう。 Summary 1 ●赤い鳥居の黒い文文字は,建立年月日と|0今頭者」の名前です。 ●赤い鳥居と黒い文字のはっきりとした対比が,外国人参拝者には「の Part 1 的です。 を求めています。 Part 最近では,旅行者は観光だけでなく,斬新な 2 ●北海道のニセコは,特に人気があり,スポーツツーリズムの です。 ●アニメツーリズムでは 88か所のアニメの 6聖地を訪れます。 Part ●伊賀や甲賀では, 忍者の衣装を着て修行を体験することができます。 を訪れて、すしやうどん,弁当作りを体験することもできます。 3 ●日本のの Summary 2 )内に入る語(旬)を の中から選び,要約を完成しましょう。 The top sightseeing spot in Japan among foreign tourists is Fushi Inari Taisha Shrine in Kyoto. It is famous for its countless red tori gat On the gates, you can see some black letters. The sharp (0 ) betwe the red gates and the black letters appeals to visitors from abroad. Nowadays, not only sightseeing (② ) also“new tourism popular.(の ), tourists are seeking fresh experiences. Nany people enjoy sports tourism. Niseko in Hokkaido is a mecca Tourists (の ) enjoy cultural tourism.(6 of the Some (6 ) bento making. also / but / contrast / for example / or / that is

簡単な問題です！！ 答えを教えてくれませんか！！

he 向)Try it ou 1( )に入る最も適切な語を考えましょう。 1.“You often go to the gym, ( )( omla)?" "( ),I do." 2.“She isn't a member of the brass band, ( ), she isn't." )will run the marathon?” “Ted( )your cell phone after 9 p.m." "OK, I'll try." )have a party this weekend." “Wow! ( )a great idea!"

写真逆さですみません💦 1️⃣と2️⃣の文章を50～60字程度で意味を変えずに文を書く時どうやって書けばいいのか教えて欲しいです！ なかなか60におさまらずどうすれば良いか分かりません

どhargen 1」 Reading Scene 1 Scer G-1 ne was 19 years old then Afo ho oraduated. she began her career as a L。 Ja G as Journalists than women. so she wwote under the name E. R. Scidmore to G-3 nide her gender. Her writing became Dobular. and she was able to save enough 8 5 th G-1 noney to travel. Scidmore was alwavs interested in travel_and it was her dream to visit foreign countries. Her first trip was to Alaska by steamship. When she returned, she wrote about the experience and createda guidebook d t G-1 about it. This was about 75 years before it became part of the United States. Scene 2 2 After that she traveled to many countries and wrote about her experiences | in them. In her travels, she visited Japan and fell in love with the cherry blossoms. She especially loved to see the reflection of the cherry blossoms in G-3 water. Planting cherry trees along the Potomac River in Washington, D.C. became her dream. 3 After she returned from her first trip to Japan, she wrote letters to people 15 journalist and wrote for various newspapers. At that time, more men worked 1 Eliza Scidmore graduated from Oberlin College in Ohio in the US in 1875. They did not want trees fro Scidmore's Cherry Trees

大学での宿題です。 誰か代わりに解いて下さい😭〜

Exercise 2.3 For or Since? Complete the sentences about successful people. Circle for or since. 1. Blake Mycoskie has started five businesses(since/ for he graduated from college. 2. Bill Gates has worked part-time for Microsoft and part-time for the Bill and Melinda Gates Foundation since / for the past several years. 3. Bill Gates has given over $28 billion to charity since/ for 2007.. 4. Oprah Winfrey has helped poor people since / for many years. 5. Since / For the last several years, the actor George Clooney has spent a great deal of time trying to help end the conflict in Darfur, Sudan.

このマーカー部分の訳がわかりません、 theyは誰のことですか？asociatedとありますが何と何を結びつけたのですか？ 教えてください🙇‍♀️

Professor Robin Dunbar, also from Oxford University and a co-author of the study, said that people whose ancestors lived within the Arctic Circle* have eyeballs 20% bigger than people whose ancestors lived near the equator. They have an associated increase in the size of the visual part of the brain, which previous studies 20 have shown matches with the size of the eyeball. Brain volume increases with latitude: shown match people living at high latitudes north and south of the equator have bigger brains than people living near the equator. The results, published in the journal Biology Letters, showed that the biggest brains.

2が分かりません

5 We help with the housework ( so / because ) my parents are busy at work. Tow Sini ob uoy ob fsi 12 ( )内の語句を並べかえて, 英文を完成させましょう。 1. (letters / I/ to / usually / write) my grandparents. They're happy with my l 2.(good / I'm / my father / that / thinks) at painting, but I just like it. lsop is