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数学 高校生

(2)の三角関数不等式の問題を教えていただきたいです。 黒線で引いている、なぜ常にこのようなものが必要なのでしょうか? すなわちのところで不等号がなぜ逆になっているか知りたいです。 よろしくお願いします。

基本 137 138 なるから、 ます。 π 3 基本 例題 140 三角方程式・不等式の解法 (2) ・ 002のとき,次の方程式、不等式を解け (1) 2cos20+sin0-1=0 sin20+cos20=1 00000 (2)2sin20+5cos0-4>0Qd 基本 137,138 重要 143 (1) cos20=1-sin20, (2) sin'0=1-cos' を代入。 指針▷ 複数の種類の三角関数を含む式は,まず1種類の三角関数で表す。 ② (1) は sin 0 だけ (2) は cos0 だけの式になる。 このとき,-1≦sin0≦1, -1≦cos01 に要注意! ③ ②で導いた式から (1) sin0 の値 (2): cose の値の範囲を求め、 それに対応する0の 値,0の値の範囲を求める。 sincos の変身自在に sin'0+cos'0=1 CHART 解答 (1) 方程式から 整理すると ゆえに よって 自 2 (1-sin20)+sin0-1=00 cos20=1-sin20 2sin20-sin0-1=0 (sin0-1)(2sin0+1)=0 200-(0203-1)=1+0800) yiel +1 1 sin0=1, 7 2 6 2 -1 1x 00 <2であるから 221 4章 23 三角関数の応用 π sin0=1より 0= また、 1 より sin0=-- 0= 2 したがって,解は 0= 276 2 1-2 -1 16 11 IC ・π, 6 16 11 π πT 7 11 π, π 6 (2) 不等式から 2 (1-cos20)+5cos 0-4 > 0 sin20=1-cos' 整理すると 2cos20-5cos0+2<0 よって (cos 0-2)(2 cos 0-1)<0 YA 1 0≦0<2πのとき,-1≦cos≦1であるから,常に COS 0-2 < 0 である。 5 3 ON したがって 2 cos0-1>0 すなわち COSA> 2 3 1 1 x 2 これを解いて 5 π 003 <02 (2) 2cos20+3sin0-3=0 (4) 2sin0tan0=-3 Op.226 EX88 練習 ③ 140 (1) 2cos20+cos0-1=0 0≦0 <2πのとき、次の方程式、不等式を解け。 (2) 2 301gin A-250

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英語 高校生

黄色い線部分の意味がわかりません。

第2問 (配点 10) Your school is arranging a work experience programme for students in Years 10 and 11. As a member of the student council, you want to present 11/ some ideas to the school to make the programme a success. You have found a report written by the school council at a school in the UK which looks helpful. Work Experience Week Last month Work Experience Week was held at our school. A11 400 students in Years 10 and 11 were asked to participate. The school provided a list of companies that were willing to accept students for a week, and students were also given the chance to contact companies by themselves. Nevertheless, some of them failed to find a place to work. Students who were not successful in finding a company had to come to school for self- study, so we should find a better way to match up students and companies next year. According to the school, 6% of Year 10 students and 34% of Year 11 students didn't participate. Why was there such a difference? The comments below clearly show the reason for this. Feedback from participants Harry, I really enjoyed the work experience. I found my company from the school's list, so it was easy to set it up. Yu-ming: This was my second time, I'm happy I did it, but most kids in my year just wanted to study for their exams. Maybe it should just be for Year 10. Clara: I couldn't get my first choice, so the workplace was a bit too far. But I think the experience helped me to try harder. Mo: I arranged my own this year. The ones on the list are fine, but several students go to the same place. I wanted to be the only student, and this time I was. Ryan: I already know what I want to be (a physical therapist) and this 2, 3 LIKE 3 To

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