Grade

Subject

Type of questions

Mathematics Senior High

(3)が分かりません! θがなぜ19π/12になるんですか?

10 21 = + 2 し,偏角0 は 0≦0 <2π とする。 (C) 2 郎の水 -i, z2 =1+i のとき,次の複素数を極形式で表せ。ただ is (S) (1) 21 (1) Z122 (2) (3)2122 Z2 id 思考プロセス 2122=- 2 → (1) 「積を計算 「極形式」 の順で考えると... 「極形式で表す。 → 「積を計算」の順で考えると √3+√3-1 + -i ← 偏角を求めにくい。 2 800) & (E) 公式の利用 (税込) }& = (=) 21=r1 (cosOi+isin Oi) 積2122=r1r2{cos(01+02)+isin (Q1+O2)} 積 ・和 |22=r2(cos02+isin02) 商 11 = Z2 12 商 -{cos(01-02)+isin(01-02)}inA 差 Action» 複素数の積(商)は、絶対値の積(商)と偏角の和 (差)を求めよ 11209 Z1, 22 をそれぞれ極形式 です。 2 解 21 COS 17+isin 7, 2 -π, 22= 3 √2 (cos+isin π より |21|=1,|22|= √2, 2 π arg21 -π, arg22 3 4 22 =√√√2 + (1)|z1z2|=|z1||22|=√2,arg(z122) = argz1 + arg22 + 11 12 2 = π 11 ・π 12 3 11 よって Z1Z2=2 cos 11 π+isin 12 12 21 (2) 21 √2 21 arg Z2 22 2 22 = arg21-argz2 = 52 よって Z1 √2 COS Z2 2 19 よって 2122 N 2 cos 127+ isin 1927) 1920 π +isin 7) (3)||=|21|= 1, argzı = argzı = 12 |2122|=|21|22|=√2, arg (2122) = argz+argz212 12 23 TT π = 4 ・π 12 IS (S) 0200 -x)= 5 つい 5|2 12 π 5 5 209 A 12 2 0 2 -πであるから 3 x i 2 200 偏角0 は 02πで考 えるから 21 22 2の偏角は 5 12 +2= 19-0 π 12

Unresolved Answers: 1
English Senior High

この選択であっているのかそしてなぜほかの答えではダメなのか教えていただきたいです。

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