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数学 高校生

三角関数の和積の公式を用いる問題なんですけど、 計算がどうなってるのかが分かりません💦 解説お願いします🙏

240 基本 例題 152 (1)積→和,和→ (7) sin 75° cos 15° 8-A 解答 (2) △ABC において,次の等式が成り立つことを証明せよ。 FAOB- OP 0+ sinA+sinB+sin C=4 cos mia. H-1A+B+C=xから、最初にCを消去して考える。 そして,左辺の sin A + sin B に 和積の公式を適用。 和と積の公式 積の公式を用いて,次の値を求めよ。 () sin 75°+sin 15°=2 sin- ! ゆえに (1) () sin 75° cos 15°= {sin (75° +15°)+sin(75° — 15°)} 2 = 1/ 4 よって -cos 80° + (2) A+B+C=²5 (1) sin 75°+sin 15° ( cos 20° cos 40° 75°+15° 2 2 2+√3 (sin 90°+sin 60°)= (1 - 1/ (1+√3)= ² + 1/3 2 4 2 1 cos 80°-- -c 4 COS p)nie+(849) 1 cos 20° cos 80°= 4 cos 80° + = () cos 20° cos 40° cos 80°= (cos {cos 60°+cos(-20°)}cos 80°= 1/2 (21/12) +cos 20° 2 sin A+sin B+sin C=2 sin- (8-30) 200- =2 sin = 2 cos 4 co 75°-15° 2 (2) △ABCにおいて 海の等 A+B 2 A+B 2 A 2 cos- PRESE 16-wale (8+1)niel C= π-(A+B) +18+28 sin C=sin(A+B), cos= cos(+/- A+B). 2 20 COS cos A B C / cos COS 22 p.239 基本事項 ①1 ② 1 1 cos 80°+cos 100° += cos 80°+cos (180°-80°) + 1 8 4 8 1 1 8 8 =2 sin 45°cos 30°=2. onle=(8-)nie -cos 80° + COS •2 cos A-B 2 COS Apogonie 80 ng =8) 2001-201 2 B cos cos 1 1 2 2 ● (1) cos 105°-cos 15° A-B 2 B Acos(-) 2 200) |=sin- +sin 2. TAOR +cos A <RAOR A+B 2 -{cos 100° +cos(-60°)} +y)+tan( A+B 2 A+B 2 √2√3 2 2 24 N 2 2. mie satu cos 80° 練習 (1) 積和,和→積の公式を用いて,次の値を求めよ。人分1② 152 (7) cos 45° sin 75° (1) sin 20°. 90+01

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英語 高校生

9行目、length to beのこのto beはなんですか? 不定詞の形容詞用法なのでしょうか。 to be Cの形は見たことがありません。 教えてください🙇‍♀️

It is only when th another person that a real basis for ed. While some people can make us feel comfortable others make us feel ill at ease and some seem untrustworthy. s has to do with the length of time that they look at us or with how long hold our gaze as they speak. この内容が関係してる等位は後ろ見て、見る!!! のは手前、 Michael Argyle, a pioneer of social psychology and nonverbal communication skills in Britain, found that when Westerners and Europeans talk, their average, gaze commun time 相互に、お互い is 61%, consisting of 41% gaze time when talking 75% when listening and 31% mutual V C 10 mutual gaze was 1.18 seconds. gazing. He recorded the average gaze length to be 2.95 seconds and the length of a We found that the amount (of eye contact) in a typical conversation ranges from 25% to 100%, depending on who's talking and what culture (2) AL'X they're from? When we talk we maintain 40 to 60% eye contact with an average of 注目すべき 80% eye contact when listening. The notable exception to this rule is Japan and some Asian and South American cultures, (where extended eye contact is seen as aggressive 15 or disrespectful. The Japanese tend to look away or at your throat, which can be A *disconcerting for culturally inexperienced Westerners and Europeans. Argyle found that when person A likes person B, he will look at him a lot. This 1 1:1 him 21

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理科 中学生

黒丸しているところを教えてください!

No.2 Susan: I heard you had lunch at Masato's house. How was it? soup/ Kenji: It was great. (delicious/cooked/the so/his mother/ was). Susan: Wow. Ⅰ want to try it, too. 次の1,2の会話について, それぞれの [ ]内の 13 語を正しく並べかえて, 英文を完成させなさい。 1. (放課後の教室で) Yuki: Mary, what are you doing here? Mary I'm [at/boy/looking/playing/the] soccer Yuki <鳥取県 > Mike Takashi: About ten o'clock. Mike 14 over there. He is so cool. Oh, that's Kenta. He plays soccer very well. 2. (昼休みの教室で) Takashi: Hi, Mike. I'm going to study for the test 18 with my friend on Saturday. Would you like to join us? : I'd love to. When will you start? : I have to clean my room, so I will [call/I / leave/when/you ] my house. 次の12の対話文の [ ]内の語句を並べかえ て, 意味の通る英文を完成させなさい。 ただし, ]内の語句を全部使うこと。 Miki: Why don't we wear the same T-shirts at the school festival? <岐阜県 > 15 17 文を完 た B: Miki: OK. Let's go there. 2. Linda: You look happy. Haru: Yes, I am. Tom (these / gave / beautiful / me/flowers). <高知県 >> (2) 次の会話の下線部について、()内の語を並べか え、意味のとおる英文にしなさい。 Jane: That's a good idea! I (that/ sells/know/ 19 cool/a shop〕 T-shirts near my house. 記号: (1) (2) PRO ( -156-

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