三角関数の合成のやり方をわかりやすく教えてください

D川早月の公式/三角関数の 229 い)in 例題 100 2倍角の三角関数の値 αが第2象限の角で sinα= 大の関三 -1のとき,sin2a, cos 2α の値を求めト A aが第2象限の角で, sina= 解 αが第2象限の角のとき cos α<0 だから 号のとき、sin2a. cos 2a. tan 2a の値を 「31 an - 2倍角の公式 244 cos a=-V1-sin'α=- 2/2 求めよ。 3 sin 2a=2sinaco cos 2a=cos'aーsia) 3 よって sin2α=2sinαcos α=2 -(-2) 4/2 aが第3象限の角で, tanα=3 のとき, sin2a, cos2a, tan 2a の値を =2cos' a-1 =1-2sin'a 245 9 求めよ。 cos 2a=1-2sin’α=1-2. 半角の公式を用いて, 次の値を求めよ。 (2)* cos 15° tan 2a= 2tana 1-tan'a 例題 101 246 (1)* sin15° (3) tan 22.5° 半角の三角関数の値 今くaくπ で,cos α=- 3 のとき, cos. tan の値を求めよ。 241 5 今くaく元, cos a= --言のとき、 sin. cos, tan の値を求めよ。 247* 230 解 2 cos'- 3 1- 5 1+cos α 2 半角の公式 1 2 次の式を rsin(0+α) の形に変形せよ。 ただし, r>0, 一元<α<π と 2 5 248° sin- cos" tan'- 1-cosa 2 (2) (2sin0+、2 cos0 (4) -、6sin0+(2cosθ くaくより く< よって cos>0 ゆえに coo-- e する。 (1)(3 sin0- cosé (3) -sin0-、3cos 0 4 1+cosa 2 2 2 _1-cosa 1+cosa 1 2 COS 2 V5 5 249* 次の等式を証明せよ。 1+sin2α-cos 2α =tan a 3 1-cos α tan?ラ=1+cos a 1+sin2α+cos 2α 5 =4 3 1- 5 2 (1) sin2α=(1+cos 2α)tana 子く号く号だから tan >0 tan=2 ● B よって sin0-cos0= |3 。のとき、 sin20. cos20, tan20 の値を求めよ。 102 三角関数の合成 頭248 250 in0+/3cos 0 を rsin(0+α) の形に変形せよ。三角関数の合成 ただし、そく0<とする。 4 ,r>0, 一Tくα<π とする。 asin0+bcos 0 =/+が'sin(0+a) のとき,tan0, sin20 の値を求めよ。 3 10 つ図より ア=/(-1)+ (/3)32 tan0+ tan 0 Ay Ay 251 P(-1, V3) /3 b 「a?- Q= 3% 188 次の等式を証明せよ。 (3倍角の公式) (1) sin3α=3sinα-4sin'α 0 252 (2) cos 3α=4cos°α-3cosa - -sin0+/3cos0 b COs α= +が -2sin(0+) 3章 三角関数 71 asin0+bcos0 は合成して → Va'+b'sin(0+e)

【物理学 力学】 質量mの物体が r:=Acosωt i:+Asinωt j: で運動している。 (A,ωは正の定数) ※:はベクトルを表しています この運動の軌道を求め、x‐y平面にその線を書け。 という問題が分かりません。教えてください！

【物理学 力学】 r=Acosωt i+Asinωt j(A､ωは正の定数)で 運動している質量mの物体において、 ※r,i,jはベクトルです。(i,jは単位ベクトル) rと速度v vと加速度a aとr のなす角をそれぞれ求める問題が わか... 続きを読む

途中から計算わかんなくなってしまいました。 解き方教えてください🙇‍♂️

(2) y"+ 3y = 0, (0) = 2,y(0) = 3v3 標

ここの変形を教えて下さい

da = a(1- cost), dy =a sint から, dt dt V(金)+() 2 2 - 2a|sin= 2asin, (::a>0, 0StS2m) = 2a sin 2 dt dt 2元 2元 t 2a sin- dt = 2 l= 2a.2|- cos COS = 8a ニ 2 0

問5 英語の長文問題です選択式です！ よろしくお願いします。

【問5】 次の Global Warming の段落を読んで、その下の英文 (S) が True (正 い) か False (誤り) のどちらか、選びなさい。 AM Global Warmind: All over the world people are talking about global warming. Vorld leaders are meeting to discuss this problem. Why is it such an important ISSU@? f the temperature of the earth rises too much, the polar ice CapS will begin to melt, causing the water level in the oceans to rise. The Intergovernmental Panel on Climate Change (the IPCC) has made Studies which suggest that there could be a one-meter rise in sea levels by the year 2080. No one knows exactly how bad the effect of this rise could be. However, it is thought that roughly 1 billion people who live on coastal land could experience severe impacts. The places most likely to be badly affected by this rise in sea level are tropical and warmer zoness: these are places where the coasts are more highly populated. The most vulnerable regions are located along the southern coast of the Mediterranean Sea, the west coast of Africa, and southern Asian countries like India, Sri Lanka, and Bangladesh. These regions contain some of the poorest, most heavily populated, and highly fertile areas of the world. In these areas, there will be huge problems as people's homes are flooded and qood farming land becomes useless. In the Pacific and Indian Oceans there are many island nations that will cease to exist. About 5 million people will have to move to other countries as the rising seas ruin drinking water and severe storms destroy their homes. The consequences of global warming will be devastating for billions of people. This is not only their problem, but an issue for the world to discuss. Much has to be done before the oceans come ashore. (S): Because of global warming, the temperature of ice and snoW IS increasin9. 〇 A. TRUE (〇) B. FALSE

問5 英語の長文問題です 選択式です よろしくお願いします。

【問5】 次の Global Warming の段落を読んで、その下の英文 (S) が True (正 い) か False (誤り) のどちらか、選びなさい。 AM Global Warmind: All over the world people are talking about global warming. Vorld leaders are meeting to discuss this problem. Why is it such an important ISSU@? f the temperature of the earth rises too much, the polar ice CapS will begin to melt, causing the water level in the oceans to rise. The Intergovernmental Panel on Climate Change (the IPCC) has made Studies which suggest that there could be a one-meter rise in sea levels by the year 2080. No one knows exactly how bad the effect of this rise could be. However, it is thought that roughly 1 billion people who live on coastal land could experience severe impacts. The places most likely to be badly affected by this rise in sea level are tropical and warmer zoness: these are places where the coasts are more highly populated. The most vulnerable regions are located along the southern coast of the Mediterranean Sea, the west coast of Africa, and southern Asian countries like India, Sri Lanka, and Bangladesh. These regions contain some of the poorest, most heavily populated, and highly fertile areas of the world. In these areas, there will be huge problems as people's homes are flooded and qood farming land becomes useless. In the Pacific and Indian Oceans there are many island nations that will cease to exist. About 5 million people will have to move to other countries as the rising seas ruin drinking water and severe storms destroy their homes. The consequences of global warming will be devastating for billions of people. This is not only their problem, but an issue for the world to discuss. Much has to be done before the oceans come ashore. (S): Because of global warming, the temperature of ice and snoW IS increasin9. 〇 A. TRUE (〇) B. FALSE

5問目 英語の長文問題です。 選択式です。よろしくお願いします。

【問5】 次の Global Warming の段落を読んで、その下の英文 (S) が True (正 い) か False (誤り) のどちらか、選びなさい。 AM Global Warmind: All over the world people are talking about global warming. Vorld leaders are meeting to discuss this problem. Why is it such an important ISSU@? f the temperature of the earth rises too much, the polar ice CapS will begin to melt, causing the water level in the oceans to rise. The Intergovernmental Panel on Climate Change (the IPCC) has made Studies which suggest that there could be a one-meter rise in sea levels by the year 2080. No one knows exactly how bad the effect of this rise could be. However, it is thought that roughly 1 billion people who live on coastal land could experience severe impacts. The places most likely to be badly affected by this rise in sea level are tropical and warmer zoness: these are places where the coasts are more highly populated. The most vulnerable regions are located along the southern coast of the Mediterranean Sea, the west coast of Africa, and southern Asian countries like India, Sri Lanka, and Bangladesh. These regions contain some of the poorest, most heavily populated, and highly fertile areas of the world. In these areas, there will be huge problems as people's homes are flooded and qood farming land becomes useless. In the Pacific and Indian Oceans there are many island nations that will cease to exist. About 5 million people will have to move to other countries as the rising seas ruin drinking water and severe storms destroy their homes. The consequences of global warming will be devastating for billions of people. This is not only their problem, but an issue for the world to discuss. Much has to be done before the oceans come ashore. (S): Because of global warming, the temperature of ice and snoW IS increasin9. 〇 A. TRUE (〇) B. FALSE

英語の長文の問題です。 選択式です よろしくお願いします

【問5】 次の Global Warming の段落を読んで、その下の英文 (S) が True (正 い) か False (誤り) のどちらか、選びなさい。 AM Global Warmind: All over the world people are talking about global warming. Vorld leaders are meeting to discuss this problem. Why is it such an important ISSU@? f the temperature of the earth rises too much, the polar ice CapS will begin to melt, causing the water level in the oceans to rise. The Intergovernmental Panel on Climate Change (the IPCC) has made Studies which suggest that there could be a one-meter rise in sea levels by the year 2080. No one knows exactly how bad the effect of this rise could be. However, it is thought that roughly 1 billion people who live on coastal land could experience severe impacts. The places most likely to be badly affected by this rise in sea level are tropical and warmer zoness: these are places where the coasts are more highly populated. The most vulnerable regions are located along the southern coast of the Mediterranean Sea, the west coast of Africa, and southern Asian countries like India, Sri Lanka, and Bangladesh. These regions contain some of the poorest, most heavily populated, and highly fertile areas of the world. In these areas, there will be huge problems as people's homes are flooded and qood farming land becomes useless. In the Pacific and Indian Oceans there are many island nations that will cease to exist. About 5 million people will have to move to other countries as the rising seas ruin drinking water and severe storms destroy their homes. The consequences of global warming will be devastating for billions of people. This is not only their problem, but an issue for the world to discuss. Much has to be done before the oceans come ashore. (S): Because of global warming, the temperature of ice and snoW IS increasin9. 〇 A. TRUE (〇) B. FALSE

特殊解x=を求めるためになんと置けばいいですか？ 教えて頂きたいです😢