数II 三角関数 下の写真の赤マーカーの問題についてです。 青い部分の式の意味がわかりません。個人的には黒で書き足した途中式だと思ったのですが、なぜ2π+π/2が出てくるのかわかりません 教えていただきたいです。 よろしくお願いします。

えを入 • 入試 2 三角関数を含む関数 (y=asin0+bcos 0)の最大値・最小値 次の関数の最大値、最小値を求めよ。 また、そのときの8の値を求めよ。 y=-√√2 sin 8+√2 cost (0 ≤0<2m) 解答欄法がわからない」という人は、右ページの「入試につながるコツ」を見てから取り組もう! コッ 三角関数の合成を利用して, rsin (0+α) の形に変形する asin+bcose の形式は, 三角関数の合成 asin0+bcos0=√a+b2sin(0+α) 解答 ただし,αは右図の角で, cosa (2 √a²+b を利用すれば, r sin (0+α) の形に変形できる。 sin と cos の2種類が混在した式から, sin の1種類だけの式になるので、式が扱いや すくなる。 y=-√2 sin0+√2 cos これを変形すると､y=2sin(0+2/2²) ● 2 よって -√2 050<2= 25. z 50+ ²√x < 2x + √x = + = 3 ³ 3 11 4 3 +11=2+ 4 最大値2 0+ (-√2.2) 2 3 3 20 − 1 ≤ sin(0+³) ≤ 1 22sim(+1) 2 自分の途中式 sin(0+³) ≤ なわち,0 X 最小値-2 ·····･･(答) sing= ニー 私のとき? 4' (答) 3 π すなわち,0= ノブのとき、⑩ 大合格に外せない b √a² + b² STEP 1 O (a,b) 三角関数の合成を利用し て三角関数の種類を1つ にする 三角関数の合成 asin0 + bcos +b sin(+α) ただし、は図の角で cos@=> sing= b √a² + b² (a, b) Hg²+ b² O a 最大値・最小値を調べる のとりうる値の範囲から、 2sin (02/27 ) のとりうる値 の範囲を求める STEP 3 最大値・最小値をとると きのの値を求める 模試・入試対策編 2 4 N B 10+14/1の範囲 < T, sin(0+³)=1, sin (+) -1 となる 値を求める。

長文問題は全部読むべきですか？ 問題解こうと思っても、問題できかれてそうな英文の前後見ても一部分しか揉めないので文の意味がわからないのですが、全文読む時間がないです

Kana: Taylor: ana: lor: 7: *** Kana: ut nts Taylor: Kana: Taylor: It was very beautiful, so I showed it to my host fam I'm glad to hear that. washi was used. I like washi, and my host family showed me an interesting video about it. A video? Tell me more. Traditional Japanese paper called shrine. The video was about old paper documents in a famous The paper documents (have / of /were / washi/made) about 1,300 years ago. People have used washi since then. あけましておめでとう I enjoyed spending time with you last year. Thanks so much! (友だちと) 時間を過ごす, 遊ぶ 文書 ・過去 ところで ・はがき I want to hang out and talk more together this year. That's a long time! I didn't know that. When we read a variety of information written on washi, we can find things about life in the past. I see. thought of that. Washi is important because we can learn the long history of Japan, right? I never I'm happy I can understand Japanese culture more. By the way, you made the New Year's card you sent me, didn't you? Yes. ]. When I went to the history museum, I made a small washi, and used it as a postcard. That's wonderful! But making washi isn't easy. If I were you, [ Well... using washi. Your nengajo was amazing! It gave me a chance to learn about an interesting part of Japanese culture. I found that washi is not only beautiful but also important in your culture. You taught (about/mé / new / to / something ) washi, and I enjoyed talking about it with you. If you want, let's go to the museum. How about next Sunday? Yes, I'm free on that day! p.s. 1 -2- I hope you'll like it! You love traditional Japanese things, so I wanted to make a special thing for you by It was fun to think about how I could create a great nengajo. Kana 2 英文中の 考えて、最も適当なものを、一つ選び、記号を書け。 will show you a traditional Japanese paper learned that to understand Japanese culture is important made this card from washi by myself will take you to the famous shrine next Sunday 話を選びそれらを正しい順に並べて書け。 会話の内容から考えて意味がとおるように、 には、次のア~エのいずれかが入る。 会話の内容から 英文中の〔 考えて、最も適当なものを、一つ選び、記号を書け。 には,次のア~エのいずれかが入る。 年賀状と会話の内容 I would buy postcards at a shop I could make the postcards easily I would go to the museum first to learn about it I I could enjoy creating a great nengajo FDH 問4 次の質問の答えとして、 年賀状と会話の内容から考えて, 最も適当 ア~エから一つ選び, 記号を書け Why did Taylor think the nengajo Kana gave to her was amazing? Because it gave her a chance to come to Japan to learn Japanese Because it told her the history of Japanese culture. Because she learned about an interesting side of Japanese cultur Because she was happy to read what Kana wrote to her. x -3-

④では不正解な理由を教えてください🙏💦

What type of music X The plan several revisions during the past few weeks. il Section and H &11 2 has been undergoing of beneta had been undergone Bad Bedo 1 undergoes 3 to undergo (札幌大

このeitherの役割ってなんですか？訳見てもよくわかりません😭

minutes. processor's But multitasking is one of the great myths of the modern age. Although we think we Juoda Jmsw (**) are focusing on several activities at once, our attention is actually jumping back and forth bomledw nying balat between the tasks. In reality, a single-core computer processor cannot truly multitask long ord o either; it actually switches back and forth between tasks several thousand times per second, thus giving us the illusion that everything is happening simultaneously. ord de to ord hut not, unfortunately, the same results.

48のbyになるのはなぜですか、withはなぜダメですか？

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2022年度の名城大学の過去問の英語の大問一の(5)について質問です。何故答えは①statesにやるのですか？教えてほしいです🙏🏻

(5) The Department of Labor () that employment has fallen drastically in the past six months. 1 states 2 to state 3 is stated 4 was stated

なぜ黄色で囲った部分が4分の3πになるのですか、？ 0<θ<2分のπ であれば4分のπ になりませんか、？

58 押さえよう! テーマ 7 三角関数を含む関数の最大・最小 OSOのとき 関数f(8)=3 cos²0-4 sin / cos sin20 の最大値、最小値を求めよ。 また, そのときの s/7/0 の値を求めよ｡ 2倍角の公式で角を20にそろえ, 三角関数の合成で sin のみの式に変形して, 最大値、最小値を求める。 「解答」 cos2f= 1+cos 20 2 = 3. であるから の 1 f(0)=3 cos²0-4 sin 0 cos 0-sin20 1+ cos 20 2 = -2 sin 20+ 2 cos 20 +1 3 4' sin20= = 2√2 sin 20+ 1 √2 1-cos 20 2 3 -1 15 sin (20+) 4 -2 sin 20- ≤20+ 2 sin 0 cos 0 = sin 20 であるから /2 1-cos 20 2 3 - 7 ITST +1 ... (*) N- より 0=0 2√2 3 3 sim (29+2(x) --1のとき、29+2425-212より-1010 = == = よって 4 よって, f(0) は sin 7 (20+ 1/21 ) = 1/1/2のとき, 最大値 2√2- +1=3 をとり、 sin (20+)=-1 -1のとき, 最小値 2√2(-1)+1=12√2 をとる。 ここで in (20+2)=1/1/2のとき20+12= 3 3 4 O 0 0 = 0 のとき、最大値 3,0= =1のとき、最小値 1-2√2 ・答 8 12 3. 4 x 1 x 角を20 でそろえる。 2倍角の公式 cos 20 = 2 cos²0-1 cos 20= 1-2 sin²0 をそれぞれ変形して 1+cos 20 2 cos20= sin '0= 1-cos 20 2 2 +0≤0S のときの 20+- のとり得る値の範囲を求める (*) に sin (20+1/21) = 1 1/12 代入する｡ (*) に sin(20+1)=-1 入する。

至急　問1教えてください！

3 次の英文を読んで、後の各問に答えよ。 Hiroshi is a junior high school student. One day in an English class, his teacher said, "We have many kinds of new technology around us. Computers, the Internet, and AI are good examples. Do you know any people who use them well? In our next project, I want you to introduce one person in class." So at home that night, Hiroshi asked his mother, and she said to him, "Your grandmother, Toshiko, uses new technology well." A few days later, Hiroshi talked with Toshiko on the Internet about the project. She said, "Well, you know I am a fruit farmer. I didn't use technology very much in the past. But now, I use it every day. There are many benefits of using new technology. I collect information about the weather from websites. I can understand my fruit's growth by keeping records and can share that information with researchers and farmers who live in other parts of Japan. Then I can get good ideas from them and make my fruit bigger and better. Now I don't need to give water to my fruit trees because AI technology can do 2 that job. Also, it is easy for me to sell more fruit by using the Internet. In these ways, new technology has changed my way of working and made it better. On my website, I show other farmers how to use new technology which helps us grow better fruit." Hiroshi decided to talk about her to his classmates. A month later, Hiroshi made a speech in front of his classmates. After the speech, his classmate, Asuka, said, “In your speech, I like the story of your grandmother's website. She shows her ideas about using new technology for agriculture. I hope people will be interested in her website. If they see it, they will learn her ways to grow fruit. Then, they will be influenced by her and start working like her. I really respect her." Hiroshi was very happy to hear that. He said to Asuka, "Using new technology in effective ways has been changing the lives of many people. I want to learn about this more and create a better society in the future." 受羽課題 プロジェクト

前置詞の問題です。 36と39番の答えを教えていただきたいです🙇‍♂️

36. In the (just 1 light 8PTOV ) of the new information, we have changed our minds 2 response stunims ( 37. Is a woman a better parent simply by ( 1 evidence 2 rule 3 sake 38. We moved to the country ( 1 as a manner of 6. 3 in the shape of 19 batteg ad (4) terms ) ti bsazim I tud,nisti ) of her sex? 4 event 6 ( ) peace Spond (199 and quiet. 9di.no ▸ 39. He completed his work at the ( 7. O damage was in the hospital dur (3 expenses no + TO B 3) virtue OU 2 for the sake of instead of 4 ni 190 no (8) ) of his health. 2 destructions 4 loss immer How 190 bm. arif an (

ここの式変形が分からないです、、解説お願いします！

|| 1. - 1 n 3n+1 = 3n+1