Grade

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Mathematics Senior High

加法定理の応用です 初歩的な質問ですが、 何故sinθ≠0であることがわかるんですか??

363 0807-857x 半径1の円に内接する正五角形ABCDE の1辺の長さをαとし,0=2 基本例題 1513倍角の公式の利用 (1)等式 sin 30+ sin20= 0 が成り立つことを証明せよ。 (3) α の値を求めよ。 (2) cose の値を求めよ。 bo to 2000 pie $=0$ nia A (4) 線分 ACの長さを求めよ。 p.233 基本事項 指針▷ (1) 30+20=2x であることに着目。なお,0を度数法で表すと 72°である。 (2) (1) は (2) のヒント coseの2次方程式を導くことができる。 0 <cos0 <1に注意して,その方程式を解く (3),(4) 余弦定理を利用する。 (4) では, (2) の方程式も利用するとよい。 SINU ELUOSO E 解答 Bagare! War (1)0=2/32 から 50=2 5 このとき したがって (2) (1) の等式から sin 0 0 であるから, 両辺を sin0で割って 3-4sin20+2cos0=0 3-4(1-cos20)+2cos0=0 よって sin30=sin (2π-20)=-sin20 sin 30+sin 20=0 ゆえに 整理して 4cos20+2cos0-1=0 (1) の等式を2倍角・3倍角の公式を用いて変形すると (2) L=12+1²-2・1・1・・ 3 sin 0-4 sin³ 0+2 sin cos 0=0 AC > 0 であるから 4 a>0であるから (4) △OACにおいて, 余弦定理により AC2 = OA2+OC2-20A・OC cos 20 5-√5 a=AB= 2 AC= 3+2・・ 30-27-20 -1+√5 4 2 =12+12-2・1・1・cos20=2-2(2cos20-1) =4-4cos20=4-(1-2cos0)=3+2cos0 L (2) の(* )から。 = (*) 0 <cos0 <1であるから -1+√5 cos 0= 4 102008-1-0200 (3) 円の中心を0とすると, △OAB において, 余弦定理により (3) 20 AB2 = OA2+OB2-20A・OB cos o 0≤(1-0 200 S)(1-25) -1+√5_5-√5 021-02 a = 0 ata 5+√5 2 2013 was roco ku R a ◄50=30+20 10:200 3倍角の公式 sin30=3sin0-4sin' 忘れたら,30=20+0 とし 加法定理と2倍角の公 式から導く。 B a B 1 ○ 1 021-0207-1-020 2006 Com (4) A '0 D E D E ABRON $30 練習 (1) 0=36°のとき, sin30=sin20 が成り立つことを示し,cos36°の値を求め -151 (2) 018°のとき, sin 20 = cos30 が成り立つことを示し, sin18°の値を求め p.238 EX9

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English Senior High

この空欄に共通語を入れないといけないんですけど分からないのでよろしければ全部じゃなくても良いので手伝っていただきたいです💦

(3) (a) We must keep an ( ) on the political situation. (b) She hit him hard and gave him a black ( ). (4) (a) This is going to cost you a good ( ) of money. (b) In this African town, there are many merchants who ) in diamonds. (5) (a) That politician always takes a strong () on difficult social issues (b) He was so shocked by the news that he could hardly ( ) up. (6) (a) Why are you sitting so far ( ) from us? Come over here and join us. (b) The two brothers look so much alike that it is difficult to tell them ( ). (c) The dog has pulled the newspaper ( ) again! (d) I don't like to mix business with pleasure, but try to keep the two things firmly ( ). (8) (a) In my ( ) you should try the exam again. (b) The ( uldn't got (7) (a) () all his campaigning, he couldn't get enough votes to win. (b) It might be better for us to make allowance ( ) his inexperience because he is a newcomer. (9) (a) You will be sure to like him, ( ) you talk with him. (b) He writes a letter ( ) in a while, but not so often. The earth goes around the sun ( ) a year of 251) (10) (a) A( ) from the mountain top was spectacular. ) is a place where you can get water. (b) The doctor said that he would be ( (11) (a) Will you ( 15 (c) He has knowledge and experience as ( ). ) if he took this medicine. ) after the children while I'm out? in the long run 結局は (b) ( ) in the mirror before you drive off

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English Senior High

分かりません 教えてください!

Exercise 1 Put the words in brackets in the correct place in the sentences. A 2) The frog was still in the bucket. [alive] 1) This is the story in today's newspaper. [main] 4) The book was written by the Prime Minister. [late] 3) Is there anything with the brakes? [wrong] 5) Because of the lack of sunny days, the crops are this year. [late] 6) She is to buy the jewelry. [ certain ] vakanteng gob you boallow sal berengued egnida synku? 7) That festival takes place in a town in Tohoku. [ certain ]RI RETAS 8) What do you think of the government? [present] 9) He was at the birth of his son. [ present ] 10) This river is about 200 meters there. [wide] A We need someone to carry out this research. [ suitable] 12) You should not leave your child in the car. [alone ] 13) Always keeping my room is not easy for me. [clean] Het be 2 Put the words in the correct order to complete the sentences. One of the words given is unnecessary. →AB slurp Ai 7 Day ini yhatid bougs 3) party. 4) 1) [feeling / may / you / lonely / only / bé ] but you are not alone. 2) Will [be / convenient / Wednesday / you/ are/for]? was/ old friends/ meet/glad/he/it/to/his] at the / are/ for 12 [possible / are/is/you/it/to/ for ] attend the meeting? buque qulog dieu | () 5) [for/to/you/it/ stay / necessary / here /is/are ].meldeinftab liw-W 6) [to / sorry / mother / was/my/it/ hear ] the news. berini awono on yliqqall ek 7 the po 3 Bu Fill in the blanks to complete the sentences. 1) I usually drink coffee ( . (何も入れないで飲む) REM 2) I have a ( 3) She stayed in the best room ( 4) Grandma isn't ( 5) He lay ( brother. (20歳の兄がいる))) teomis sH Q ei seion dT O →AB in the hotel. (そのホテルで利用できる最高の部屋に滞在した) (read small letters without glasses. (眼鏡なしでは読めない) ) half the night worrying about her daughter's future. (Tut Put it into English - Context writing - 1) 富士山は私たちにとって単なる山ではない。 (mere) It is a symbol of Japan. 2)その山は高さ3,776メートルの火山だ。 (a volcano) 3) 夏のある特定の期間, 山頂に多くの登山者を見つけるだろう。 (the mountaintop) 4) その山に登るときは、夏でも暖かい衣類を持っていくことが不可欠だ。(clothing) 5) 何か温かい飲み物を持っていくほうがよい。 FACTBOOK Tips 41 F p.426 形容詞は kind (親切な), busy (忙しい)などといった典型的なものばかりではありません。英語は位置のことばです。 前後に配置すれば典型的な形容詞でなくても形容詞として機能します。 (a) customer satisfaction (顧客満足),(b) mac translation (R), (c) English-speaking countries (4), (d) written English (U の現在分詞 過去分詞はもちろん, (a)(b)のような名詞も形容詞として使うことができるのです。

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