(1)(2)のどちらも絶対値を求めてから計算をはじめていますが、これは何を表しているんですか？

515 重要 例題 96 複素数の極形式 (2) 次の複素数を極形式で表せ。ただし、偏角010≦0<2πとする。 -cosa+isina (0 <α <π ) (2) sina+icosa (0≦x<2) 偏角の範囲を考える 0000 ・基本 95 既に極形式で表されているように見えるが,r(cos+isin) の形ではないから極形 指針 式ではない。 式の形に応じて 三角関数の公式を利用し, 極形式の形にする。 (1)実部の符号 - を + にする必要があるから, cos (π-0)=-cosA を利用。更に 虚部の偏角を実部の偏角に合わせるために, sin (π-0)=sin0 を利用する。 (2) 実部の sin を cos に, 虚部の cos を sin にする必要があるから, cos(7-0)=sinė, sin(7-0) 0 =cose を利用する。 2 また,本問では偏角 0 の範囲に指定があり, 002 を満たさなければならないこと 注意。 特に(2)では, αの値によって場合分けが必要となる。 CHART 極形式 (cos+isin) の形 三角関数の公式を利用 (1) 絶対値は (-cosa)+(sina)=1 -cosa+isina=cos(π-a)+isin (π-α) cos(-b)=-coso sin(0)=sin0 3章 1 複素数の極形式と乗法、除法 解答 また ① 0<<より,0<π-α <πであるから,①は求める極 形式である。 偏角の条件を満たすかど うか確認する。 (2) 絶対値は (sina)²+(cosa)² =1 058527 また ここで π sina+icosa=cos| cos(-a)+isin(-a) cos(-9)=sine Ome のときであるから,求め <2mから 2 る極形式は sinaticosa=cos | π a ゆえに, αの値の範囲に よって場合分け。 sin(-)-cos o π <<2のとき,偏 2 (-a)+isin(-a) π 3 <α <2のとき π 2 < -a<0 2 2 各辺に2を加えると、1/11/22であり、 52 -π 5 COS oly なお s(-a)= cos(-a), COS sin(-a)-sin(-a) よって, 求める極形式は sina+icosa cos(-a)+isin(-a) 角が0以上2 未満の範 囲に含まれていないから, 偏角に2m を加えて調整 する。 COS (+2nz)=COS sin(+2nx)=sin [n は整数] 練習 次の複素数を極形式で表せ。 ただし、偏角0 は 002 とする。 396 (1) cosa-isina (0<a<x) (2) sina-icosa (0≤a<2π) PP

surprisingly 驚いたことには の使い方を教えてください!!

②か④で迷い④を選択しました。間違えていました。 なぜ②が正解で④が不正解なのかの理由を知りたいです。よろしくお願いします。

(椙山女学園大学) 004 I don't have any plans for this Sunday, but next Sunday ( my aunt. 1 I visit 2 I am visiting 3 I was visiting 4 I'm going (松山大学)

この文章の文構造はどのようになっているのでしょうか？ to enrollは何と並列関係にあるのですか？？

109 For details about our language course offerings, or ------- in a class, please visit our Web site. (A) to enroll (B) enrolled (D) are enrolling (C) enrolls 当校の語学教室の詳細もしくは登録につきましては、当校 正解 A 準動詞構文 [ 正答率4.5% ] カンマの後に please visit our Web site ( 当校のホームページをご覧くだ さい)という命令形の文があるので、 「何のためにそうする必要があるのか」 という〈目的〉を表す不定詞の (A) to enroll が入る。 (B) enrolled は動詞 enroll (登録する) の過去形または過去分詞、 (C) enrolls は3人称単数現 在形、 (D) are enrolling は現在進行形。 Vocab. □detail 「詳細」 のホームページをご覧ください。

高一数学三角関数 この答えで合ってるか教えてください🙇‍♀️

3+6tanB 2 3√3 1+2Stan =53 3039 26 (2)3点A(6,1), B (2,3), C (a, b)について, △ABC が正三角形であるとき,a,もの値 を求めよ。 60 4,2 A -2-31-243) -2+√3, 1+2√3 係詞② EE (a,b) = 14,1-√3) (71-2√3) it cost + =) lab ( 4, H+ √3) | 1, 1+253) rooshes = - handsins Isina cos I + roosa sing 24/+(4) 5 4x -4×1 44 1-2√3 +2 -2+ 2-5 KAN 印刷所 発 英語 株式会社 新興出 大阪 〒543 東京 〒 支社 URL

数学の問題です 2行目から3行目の式変形がわかりません　 教えてください🙇‍♀️

(与式)=(cos 2 T+isin 3 isin ½)+{cos よって =(c 2 COS 2nπ 3 n /*)" + (cos(-27) + isin (-2x))" π + isin 2n). 3 n 3 2)+(cos(-2x) + isin (-2x)} 3 2nπ =2cos 3

不適切なものを選ぶ問題です！ 解答の根拠を教えていただきたいです🙇‍♀️ 答えは上から、 2.3.3.2.4.1.3.3.3.4.です。

(1) Earthquake drills are important and should do on a regular basis in preparation for emergencies. 11 2 3 (2) It is known to everyone that Nancy is the most talented than any other student in the village. 12 2 3 2 3 (3) In contrast to its low price, this hotel has the best service of any I was experienced and I am very satisfied with it. 13 (4) Marie Curie was famous for being a first woman to win a Nobel Prize in Physics, and later I another one in Chemistry. 14 3 4 2 3 (5) While eating and sleeping are indeed essential for humans to lead active lives, we recognize 1 that there could have emerged many other important factors. 15 (6) Preserving traditional customs and to take in new cultures have been discussed by many researchers in various academic journals. 16 2 3 (7) The island I live on is only 50 kilometers from a neighboring country, which is so close that the land is visibly to the naked eye. 17 3 1 2 (8) In determining the class president, three students applied for the position, but in them only 1 2 Thomas succeeded in making a good impression. 18 3 (9) Thanks to Barbara's contribution, we were able to finish the event successfully. If she had not 1 2 constant directed the staff, it would have been an absolute failure. 19 3 (10) A number of protests by dissatisfied employees of the company occurred mainly in Boston ī there in the 1980s. 20 2 3

不適切なものを選ぶ問題です 解答の根拠を教えていただきたいです。 答えは上から順に、1.3.3.1.3.2.2.1.4.4.です。

(1) Judge from the circumstances of the case, the robber must have visited the jewelry shop 1 in advance. 4 11 3 (2) Dreams mostly happen during the state of asleep characterized by rapid eye movement, or REM. 12 2 3 (3) The database contains hundreds of thousands of article, but that does not make it science. 4 T 13 2 3 (4) I fond of my boyfriend, but he often turns up late for a date. Other than that, I have nothing 1 to complain about. 14 2 3 (5) Climate, soil type, and availability of water are the most critical factors than choosing the best type of grass for a lawn. 1 15 2 3 (6) Mary Quant is one of the most popular British designer of the 1960s, whose daisy motif T 2 16 has attracted the attention of younger generations in Japan. 3 (7) After so long a basketball game, I am such exhausted to write my essay, which is due on Monday. 17 2 (8) The music professor strongly advised that Emily goes to the Royal Albert Hall during her stay in London, where a globally known summer concert series is held. 18 1 2 3 (9) In the tea industry, tea leaves are graded in quality according to size, color, and appear. 19 2 3 (10) Some fish use their sense of smell as a guide when return to a spawning river. 1 2 3 20

線を引いたところの訳し方を丁寧に教えて頂きたいです🙇‍♀️

L American poet Ralph Waldo Emerson once said, "Every artist was first an amateur." He likely never thought those words would apply to machines. Yet artificial intelligence (AI) has demonstrated a growing talent for creativity, whether writing a heavy-metal rock album or producing an original portrait that is strikingly similar to a Rembrandt. Applying AI to the art world might seem unoriginal; there are, of course, plenty of humans delivering awe-inspiring work. Supporters say, however, the real beauty of training AI to be creative does not lie in the end product-but rather in the technology's potential to expand on its own machine-learning education, and to solve problems by thinking in different ways far faster and better than humans can. For example, creative problem-solving AI could someday make snap decisions that save the lives of the passengers in a self-driving car if its sensors fail. AI with a creative component will be essential in developing highly automated systems that can respond appropriately to human life, says Mark Riedl, an associate professor at Georgia Institute of Technology's School of Interactive Computing. "The fact is, we do lots of little bits of creativity every single day; lots of problem-solving goes on," Riedl says. "If my son gets a toy stuck under the couch, I have to devise a tool from a hanger to get it out." Riedl points out human creativity is also important in human social interactions, even telling a well-timed joke or recognizing a pun. Computers struggle with such subtleties. An incomplete understanding of how humans construct metaphors, for example, was all it took for an experiment in Al-generated literature to compose a new Harry Potter chapter filled with nonsensical sentences such as, "The floor of the castle seemed like a large pile

2） 3単語何が入るか教えてください🙇🏼‍♀️

Yoshida Nagi is a unique photographer. She often takes pictures in Africa and other places around the world. Yoshida became interested in African ethnic groups when she was five years old. She happened to see the Masai people, one of the ethnic groups in Africa, on TV. She did not know why, but she became strongly attracted to the Masai. She even thought, "I wish I were a member of their tribe." Soon after that, going to Africa became one of her dreams. She stopped going to junior high school in second. grade because she had trouble fitting in. In fact, she was bullied in both elementary and junior high schools. After leaving school, she worked for several years and saved money. Her childhood dream came true in 2009, when she was 23 years old. She finally visited Africa.