正しいものを選べ sin ⁡ ( α + β ) = \sin\left(\alpha+\beta\right)= sin ( α + β ) =

sin ⁡ α cos ⁡ β + cos ⁡ α sin ⁡ β \sin\alpha\cos\beta+\cos\alpha\sin\beta sin α cos β + cos α sin β

sin ⁡ α cos ⁡ β − cos ⁡ α sin ⁡ β \sin\alpha\cos\beta-\cos\alpha\sin\beta sin α cos β − cos α sin β

cos ⁡ α cos ⁡ β − sin ⁡ α sin ⁡ β \cos\alpha\cos\beta-\sin\alpha\sin\beta cos α cos β − sin α sin β

cos ⁡ α cos ⁡ β + sin ⁡ α sin ⁡ β \cos\alpha\cos\beta+\sin\alpha\sin\beta cos α cos β + sin α sin β

正しいものを選べ sin ⁡ ( α − β ) = \sin\left(\alpha-\beta\right)= sin ( α − β ) =

sin ⁡ α cos ⁡ β − cos ⁡ α sin ⁡ β \sin\alpha\cos\beta-\cos\alpha\sin\beta sin α cos β − cos α sin β

sin ⁡ α cos ⁡ β + cos ⁡ α sin ⁡ β \sin\alpha\cos\beta+\cos\alpha\sin\beta sin α cos β + cos α sin β

cos ⁡ α cos ⁡ β − sin ⁡ α sin ⁡ β \cos\alpha\cos\beta-\sin\alpha\sin\beta cos α cos β − sin α sin β

cos ⁡ α cos ⁡ β + sin ⁡ α sin ⁡ β \cos\alpha\cos\beta+\sin\alpha\sin\beta cos α cos β + sin α sin β

正しいものを選べ cos ⁡ ( α + β ) = \cos\left(\alpha+\beta\right)= cos ( α + β ) =

cos ⁡ α cos ⁡ β − sin ⁡ α sin ⁡ β \cos\alpha\cos\beta-\sin\alpha\sin\beta cos α cos β − sin α sin β

sin ⁡ α cos ⁡ β + cos ⁡ α sin ⁡ β \sin\alpha\cos\beta+\cos\alpha\sin\beta sin α cos β + cos α sin β

sin ⁡ α cos ⁡ β − cos ⁡ α sin ⁡ β \sin\alpha\cos\beta-\cos\alpha\sin\beta sin α cos β − cos α sin β

cos ⁡ α cos ⁡ β + sin ⁡ α sin ⁡ β \cos\alpha\cos\beta+\sin\alpha\sin\beta cos α cos β + sin α sin β

正しいものを選べ cos ⁡ ( α − β ) = \cos\left(\alpha-\beta\right)= cos ( α − β ) =

cos ⁡ α cos ⁡ β + sin ⁡ α sin ⁡ β \cos\alpha\cos\beta+\sin\alpha\sin\beta cos α cos β + sin α sin β

sin ⁡ α cos ⁡ β + cos ⁡ α sin ⁡ β \sin\alpha\cos\beta+\cos\alpha\sin\beta sin α cos β + cos α sin β

sin ⁡ α cos ⁡ β − cos ⁡ α sin ⁡ β \sin\alpha\cos\beta-\cos\alpha\sin\beta sin α cos β − cos α sin β

cos ⁡ α cos ⁡ β − sin ⁡ α sin ⁡ β \cos\alpha\cos\beta-\sin\alpha\sin\beta cos α cos β − sin α sin β

正しいものを選べ tan ⁡ ( α + β ) = \tan\left(\alpha+\beta\right)= tan ( α + β ) =

tan ⁡ α + tan ⁡ β 1 − tan ⁡ α tan ⁡ β \frac{\tan\alpha+\tan\beta}{1-\tan\alpha\tan\beta} 1 − tan α tan β tan α + tan β

tan ⁡ α − tan ⁡ β 1 + tan ⁡ α tan ⁡ β \frac{\tan\alpha-\tan\beta}{1+\tan\alpha\tan\beta} 1 + tan α tan β tan α − tan β

tan ⁡ α + tan ⁡ β 1 + tan ⁡ α tan ⁡ β \frac{\tan\alpha+\tan\beta}{1+\tan\alpha\tan\beta} 1 + tan α tan β tan α + tan β

tan ⁡ α − tan ⁡ β 1 − tan ⁡ α tan ⁡ β \frac{\tan\alpha-\tan\beta}{1-\tan\alpha\tan\beta} 1 − tan α tan β tan α − tan β

正しいものを選べ tan ⁡ ( α − β ) = \tan\left(\alpha-\beta\right)= tan ( α − β ) =

tan ⁡ α − tan ⁡ β 1 + tan ⁡ α tan ⁡ β \frac{\tan\alpha-\tan\beta}{1+\tan\alpha\tan\beta} 1 + tan α tan β tan α − tan β

tan ⁡ α + tan ⁡ β 1 − tan ⁡ α tan ⁡ β \frac{\tan\alpha+\tan\beta}{1-\tan\alpha\tan\beta} 1 − tan α tan β tan α + tan β

tan ⁡ α + tan ⁡ β 1 + tan ⁡ α tan ⁡ β \frac{\tan\alpha+\tan\beta}{1+\tan\alpha\tan\beta} 1 + tan α tan β tan α + tan β

tan ⁡ α − tan ⁡ β 1 − tan ⁡ α tan ⁡ β \frac{\tan\alpha-\tan\beta}{1-\tan\alpha\tan\beta} 1 − tan α tan β tan α − tan β

正しいものを選べ sin ⁡ α cos ⁡ β + cos ⁡ α sin ⁡ β = \sin\alpha\cos\beta+\cos\alpha\sin\beta= sin α cos β + cos α sin β =

sin ⁡ ( α + β ) \sin\left(\alpha+\beta\right) sin ( α + β )

sin ⁡ ( α − β ) \sin\left(\alpha-\beta\right) sin ( α − β )

cos ⁡ ( α + β ) \cos\left(\alpha+\beta\right) cos ( α + β )

cos ⁡ ( α − β ) \cos\left(\alpha-\beta\right) cos ( α − β )

正しいものを選べ sin ⁡ α cos ⁡ β − cos ⁡ α sin ⁡ β = \sin\alpha\cos\beta-\cos\alpha\sin\beta= sin α cos β − cos α sin β =

sin ⁡ ( α − β ) \sin\left(\alpha-\beta\right) sin ( α − β )

sin ⁡ ( α + β ) \sin\left(\alpha+\beta\right) sin ( α + β )

cos ⁡ ( α + β ) \cos\left(\alpha+\beta\right) cos ( α + β )

cos ⁡ ( α − β ) \cos\left(\alpha-\beta\right) cos ( α − β )

正しいものを選べ cos ⁡ α cos ⁡ β − sin ⁡ α sin ⁡ β = \cos\alpha\cos\beta-\sin\alpha\sin\beta= cos α cos β − sin α sin β =

cos ⁡ ( α + β ) \cos\left(\alpha+\beta\right) cos ( α + β )

sin ⁡ ( α + β ) \sin\left(\alpha+\beta\right) sin ( α + β )

sin ⁡ ( α − β ) \sin\left(\alpha-\beta\right) sin ( α − β )

cos ⁡ ( α − β ) \cos\left(\alpha-\beta\right) cos ( α − β )

正しいものを選べ cos ⁡ α cos ⁡ β + sin ⁡ α sin ⁡ β = \cos\alpha\cos\beta+\sin\alpha\sin\beta= cos α cos β + sin α sin β =

cos ⁡ ( α − β ) \cos\left(\alpha-\beta\right) cos ( α − β )

sin ⁡ ( α + β ) \sin\left(\alpha+\beta\right) sin ( α + β )

sin ⁡ ( α − β ) \sin\left(\alpha-\beta\right) sin ( α − β )

cos ⁡ ( α + β ) \cos\left(\alpha+\beta\right) cos ( α + β )

正しいものを選べ tan ⁡ α + tan ⁡ β 1 − tan ⁡ α tan ⁡ β = \frac{\tan\alpha+\tan\beta}{1-\tan\alpha\tan\beta}= 1 − tan α tan β tan α + tan β =

tan ⁡ ( α + β ) \tan\left(\alpha+\beta\right) tan ( α + β )

tan ⁡ ( α − β ) \tan\left(\alpha-\beta\right) tan ( α − β )

正しいものを選べ tan ⁡ α − tan ⁡ β 1 + tan ⁡ α tan ⁡ β = \frac{\tan\alpha-\tan\beta}{1+\tan\alpha\tan\beta}= 1 + tan α tan β tan α − tan β =

tan ⁡ ( α − β ) \tan\left(\alpha-\beta\right) tan ( α − β )

tan ⁡ ( α + β ) \tan\left(\alpha+\beta\right) tan ( α + β )

三角関数の加法定理を覚えるTraining

Authored by Kenji Takei

Mathematics

11th - 12th Grade

Used 23+ times

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正しいものを選べ
$\cos\alpha\cos\beta+\sin\alpha\sin\beta=$

$\sin\left(\alpha+\beta\right)$

$\sin\left(\alpha-\beta\right)$

$\cos\left(\alpha+\beta\right)$

$\cos\left(\alpha-\beta\right)$

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三角関数の加法定理を覚えるTraining

正しいものを選べ sin⁡(α+β)=\sin\left(\alpha+\beta\right)=sin(α+β)=

正しいものを選べ sin⁡(α−β)=\sin\left(\alpha-\beta\right)=sin(α−β)=

正しいものを選べ cos⁡(α+β)=\cos\left(\alpha+\beta\right)=cos(α+β)=

正しいものを選べ cos⁡(α−β)=\cos\left(\alpha-\beta\right)=cos(α−β)=

正しいものを選べ tan⁡(α+β)=\tan\left(\alpha+\beta\right)=tan(α+β)=

正しいものを選べ tan⁡(α−β)=\tan\left(\alpha-\beta\right)=tan(α−β)=

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

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

正しいものを選べ cos⁡αcos⁡β−sin⁡αsin⁡β=\cos\alpha\cos\beta-\sin\alpha\sin\beta=cosαcosβ−sinαsinβ=

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

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正しいものを選べ
$\sin\left(\alpha+\beta\right)=$

正しいものを選べ
$\sin\left(\alpha-\beta\right)=$

正しいものを選べ
$\cos\left(\alpha+\beta\right)=$

正しいものを選べ
$\cos\left(\alpha-\beta\right)=$

正しいものを選べ
$\tan\left(\alpha+\beta\right)=$

正しいものを選べ
$\tan\left(\alpha-\beta\right)=$

正しいものを選べ
$\sin\alpha\cos\beta+\cos\alpha\sin\beta=$

正しいものを選べ
$\sin\alpha\cos\beta-\cos\alpha\sin\beta=$

正しいものを選べ
$\cos\alpha\cos\beta-\sin\alpha\sin\beta=$

正しいものを選べ
$\cos\alpha\cos\beta+\sin\alpha\sin\beta=$