正しいものを選べ sin ⁡ A + sin ⁡ B = \sin A+\sin B= sin A + sin B =

2 sin ⁡ A + B 2 cos ⁡ A − B 2 2\sin\frac{A+B}{2}\cos\frac{A-B}{2} 2 sin 2 A + B cos 2 A − B

2 cos ⁡ A + B 2 sin ⁡ A − B 2 2\cos\frac{A+B}{2}\sin\frac{A-B}{2} 2 cos 2 A + B sin 2 A − B

2 cos ⁡ A + B 2 cos ⁡ A − B 2 2\cos\frac{A+B}{2}\cos\frac{A-B}{2} 2 cos 2 A + B cos 2 A − B

− 2 sin ⁡ A + B 2 sin ⁡ A − B 2 -2\sin\frac{A+B}{2}\sin\frac{A-B}{2} − 2 sin 2 A + B sin 2 A − B

正しいものを選べ sin ⁡ A − sin ⁡ B = \sin A-\sin B= sin A − sin B =

2 cos ⁡ A + B 2 sin ⁡ A − B 2 2\cos\frac{A+B}{2}\sin\frac{A-B}{2} 2 cos 2 A + B sin 2 A − B

2 sin ⁡ A + B 2 cos ⁡ A − B 2 2\sin\frac{A+B}{2}\cos\frac{A-B}{2} 2 sin 2 A + B cos 2 A − B

2 cos ⁡ A + B 2 cos ⁡ A − B 2 2\cos\frac{A+B}{2}\cos\frac{A-B}{2} 2 cos 2 A + B cos 2 A − B

− 2 sin ⁡ A + B 2 sin ⁡ A − B 2 -2\sin\frac{A+B}{2}\sin\frac{A-B}{2} − 2 sin 2 A + B sin 2 A − B

正しいものを選べ cos ⁡ A + cos ⁡ B = \cos A+\cos B= cos A + cos B =

2 cos ⁡ A + B 2 cos ⁡ A − B 2 2\cos\frac{A+B}{2}\cos\frac{A-B}{2} 2 cos 2 A + B cos 2 A − B

2 sin ⁡ A + B 2 cos ⁡ A − B 2 2\sin\frac{A+B}{2}\cos\frac{A-B}{2} 2 sin 2 A + B cos 2 A − B

2 cos ⁡ A + B 2 sin ⁡ A − B 2 2\cos\frac{A+B}{2}\sin\frac{A-B}{2} 2 cos 2 A + B sin 2 A − B

− 2 sin ⁡ A + B 2 sin ⁡ A − B 2 -2\sin\frac{A+B}{2}\sin\frac{A-B}{2} − 2 sin 2 A + B sin 2 A − B

正しいものを選べ cos ⁡ A − cos ⁡ B = \cos A-\cos B= cos A − cos B =

− 2 sin ⁡ A + B 2 sin ⁡ A − B 2 -2\sin\frac{A+B}{2}\sin\frac{A-B}{2} − 2 sin 2 A + B sin 2 A − B

2 sin ⁡ A + B 2 cos ⁡ A − B 2 2\sin\frac{A+B}{2}\cos\frac{A-B}{2} 2 sin 2 A + B cos 2 A − B

2 cos ⁡ A + B 2 sin ⁡ A − B 2 2\cos\frac{A+B}{2}\sin\frac{A-B}{2} 2 cos 2 A + B sin 2 A − B

2 cos ⁡ A + B 2 cos ⁡ A − B 2 2\cos\frac{A+B}{2}\cos\frac{A-B}{2} 2 cos 2 A + B cos 2 A − B

和と積の変換公式を覚える

Authored by Kenji Takei

Mathematics

11th - 12th Grade

Used 3+ times

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

正しいものを選べ

$\sin\alpha\cos\beta=$

$\frac{1}{2}\left\{\sin\left(\alpha+\beta\right)+\sin\left(\alpha-\beta\right)\right\}$

$\frac{1}{2}\left\{\sin\left(\alpha+\beta\right)-\sin\left(\alpha-\beta\right)\right\}$

$\frac{1}{2}\left\{\cos\left(\alpha+\beta\right)+\cos\left(\alpha-\beta\right)\right\}$

$-\frac{1}{2}\left\{\cos\left(\alpha+\beta\right)-\cos\left(\alpha-\beta\right)\right\}$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

正しいものを選べ

$\cos\alpha\sin\beta=$

$\frac{1}{2}\left\{\sin\left(\alpha+\beta\right)+\sin\left(\alpha-\beta\right)\right\}$

$\frac{1}{2}\left\{\sin\left(\alpha+\beta\right)-\sin\left(\alpha-\beta\right)\right\}$

$\frac{1}{2}\left\{\cos\left(\alpha+\beta\right)+\cos\left(\alpha-\beta\right)\right\}$

$-\frac{1}{2}\left\{\cos\left(\alpha+\beta\right)-\cos\left(\alpha-\beta\right)\right\}$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

正しいものを選べ

$\cos\alpha\cos\beta=$

$\frac{1}{2}\left\{\sin\left(\alpha+\beta\right)+\sin\left(\alpha-\beta\right)\right\}$

$\frac{1}{2}\left\{\sin\left(\alpha+\beta\right)-\sin\left(\alpha-\beta\right)\right\}$

$\frac{1}{2}\left\{\cos\left(\alpha+\beta\right)+\cos\left(\alpha-\beta\right)\right\}$

$-\frac{1}{2}\left\{\cos\left(\alpha+\beta\right)-\cos\left(\alpha-\beta\right)\right\}$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

正しいものを選べ

$\sin\alpha\sin\beta=$

$\frac{1}{2}\left\{\sin\left(\alpha+\beta\right)+\sin\left(\alpha-\beta\right)\right\}$

$\frac{1}{2}\left\{\sin\left(\alpha+\beta\right)-\sin\left(\alpha-\beta\right)\right\}$

$\frac{1}{2}\left\{\cos\left(\alpha+\beta\right)+\cos\left(\alpha-\beta\right)\right\}$

$-\frac{1}{2}\left\{\cos\left(\alpha+\beta\right)-\cos\left(\alpha-\beta\right)\right\}$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

正しいものを選べ
$\sin A+\sin B=$

$2\sin\frac{A+B}{2}\cos\frac{A-B}{2}$

$2\cos\frac{A+B}{2}\sin\frac{A-B}{2}$

$2\cos\frac{A+B}{2}\cos\frac{A-B}{2}$

$-2\sin\frac{A+B}{2}\sin\frac{A-B}{2}$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

正しいものを選べ
$\sin A-\sin B=$

$2\sin\frac{A+B}{2}\cos\frac{A-B}{2}$

$2\cos\frac{A+B}{2}\sin\frac{A-B}{2}$

$2\cos\frac{A+B}{2}\cos\frac{A-B}{2}$

$-2\sin\frac{A+B}{2}\sin\frac{A-B}{2}$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

正しいものを選べ
$\cos A+\cos B=$

$2\sin\frac{A+B}{2}\cos\frac{A-B}{2}$

$2\cos\frac{A+B}{2}\sin\frac{A-B}{2}$

$2\cos\frac{A+B}{2}\cos\frac{A-B}{2}$

$-2\sin\frac{A+B}{2}\sin\frac{A-B}{2}$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

正しいものを選べ
$\cos A-\cos B=$

$2\sin\frac{A+B}{2}\cos\frac{A-B}{2}$

$2\cos\frac{A+B}{2}\sin\frac{A-B}{2}$

$2\cos\frac{A+B}{2}\cos\frac{A-B}{2}$

$-2\sin\frac{A+B}{2}\sin\frac{A-B}{2}$

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和と積の変換公式を覚える

正しいものを選べ sin⁡αcos⁡β=\sin\alpha\cos\beta=sinαcosβ=

正しいものを選べ cos⁡αsin⁡β=\cos\alpha\sin\beta=cosαsinβ=

正しいものを選べ cos⁡αcos⁡β=\cos\alpha\cos\beta=cosαcosβ=

正しいものを選べ sin⁡αsin⁡β=\sin\alpha\sin\beta=sinαsinβ=

正しいものを選べ sin⁡A+sin⁡B=\sin A+\sin B=sinA+sinB=

正しいものを選べ sin⁡A−sin⁡B=\sin A-\sin B=sinA−sinB=

正しいものを選べ cos⁡A+cos⁡B=\cos A+\cos B=cosA+cosB=

正しいものを選べ cos⁡A−cos⁡B=\cos A-\cos B=cosA−cosB=

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正しいものを選べ

$\sin\alpha\cos\beta=$

正しいものを選べ

$\cos\alpha\sin\beta=$

正しいものを選べ

$\cos\alpha\cos\beta=$

正しいものを選べ

$\sin\alpha\sin\beta=$

正しいものを選べ
$\sin A+\sin B=$

正しいものを選べ
$\sin A-\sin B=$

正しいものを選べ
$\cos A+\cos B=$

正しいものを選べ
$\cos A-\cos B=$