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Mathematics Senior High

(1)の(ウ)の問題の解説で 黄色いライン部分の180°はなぜ消えたのですか?

256 基本例題 158 和と積の公式 (1) 積→和,和→積の公式を用いて,次の値を求めよ。 (1) sin 75°+sin 15° (7) sin 75° cos 15° (2) △ABCにおいて,次の等式が成り立つことを証明せよ。 B C COS COS 2 A-AL 指針 解答 (1) (7) sin 75° cos 15° = (2) △ABC の問題には, A+B+C=² (内角の和は180℃) の条件がかくれている。 A+B+C=元から、最初にCを消去して考える。 そして、左辺の sin A+ sin B に 和 = sin A+sin B+sin C=4 cos- (1) sin 75°+sin 15°=2 sin- = 1 1 =1/(1/2/20 +cos 20° cos 80°= cos 80 よって cos cos 80° + 15/12/20 cos 80°+ 1 2 1 -(sin 90°+sin 60°) 2 -{sin (75° +15°)+sin(75° -15°)} 2 積の公式を適用。 2 1 () cos 20° cos 40° cos 80°= ={cos 60° +cos(-20°)}cos 80° 2 2 75°+15° 75°-15° 2 COS 2 & few eco +302 =2 sin 45°cos 30°=2. ATTE SY - cos 80° + = 1 -{cos 100° +cos(-60°)}= sin A+sin B+sin C=2 sin- 1/(1+2)=2+1/3 1 (7) cos 20° cos 40° cos 80 2 2 1+1=4 cos C 2) mi p.255 基本事項 1, 2 重要 167 cos 20° cos 80° 1 4 cos 80° + cos 100° + 4 cos(180-80°)+cos 80°- = √√3√6 (8+0202 A+B =2sin- 2 229 230 (2) A+B+C=²5 С= π-(A+B) Peop+(a+b)800 ゆえに sin C=sin(A+B), cos= cos(7_A+B) = s =sin- 2 A+B A-B 2 2 COS COS -cos 4 A 2 2 COS cos 80° + 2+√3 A = 2cas-20064/cos(-2) =2 A-B 2 B C 1/2 cos/20 COS 4 練習 (1) 積和,和→積の公式を用いて,次の値を求めよ。 158 (P) +sin 2. +cos 1 1 8 8 B - A+B 2 A+B 2 A+B) 2 解答 145 7045050 2倍角, により の形 CH 与式大 ここ

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Mathematics Senior High

回答わかる方いますか?

16 次の(A), (B)の問いに答えなさい。 (A 次の英文を読んで, 文意が通じるように, 2回~16時に入れるのに最も適切な語(旬) を0~ から1つずつ選び, 番号で答えなさい。 In 2019, the Rugby World Cup was held in Japan. Rugby wasn't very popular among Japanese people until just a few years ago. In the *previous World Cup in 2015, Japan won a game against South Africa in a dramatic *upset victory. And in this World Cup, Japan reached the final eight. The Japanese national team made history and has 0 taken 5@ brought Do you know who started Japan's *bid to host the Rugby World Cup? There was a man who had a great passion for rugby. He was a * diplomat named Katsuhiko Oku, In 2003, he was suddenly attacked and killed by *terrorists in *Iraq, He was 290 engaged O prepared He started playing rugby at a public high school in Hyogo. He also showeda great talent for rugby at Waseda University. At that time, he had a dream to be a diplomat and work internationally in the future. After deep *consideration, he decided to 30O continue to However, he *encountered rugby again at Oxford University, and he tried hard to 15 develop his skills there. He became the first Japanese player of the Oxford rugby team. After that, he kept his love for rugby in his heart and *devoted himself to Japanese rugby while he worked on the 31) | 0 social Six years after his death, it was decided that the Rugby World Cup would be held in Japan. O given rugby into the hearts and minds of Japanese people. O satisfied in *reconstruction support activities for Iraq. 10 @ keep off O give up rugby then. O necessary O international stage. [注) previous (前の) terrorist(テロリスト) consideration(熟慮) upset(番狂わせ) Iraq(イラク) encounter . (……に出会う) bid (宣言 reconstf uction (復興) diplomat (外交官) devote oneself to (…に身を捧げる)

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