同じ値のものを選べ sin ⁡ ( θ + 2 n π ) \sin\left(\theta+2n\pi\right) sin ( θ + 2 n π )

− sin ⁡ θ -\sin\theta − sin θ

− cos ⁡ θ -\cos\theta − cos θ

同じ値のものを選べ cos ⁡ ( θ + 2 n π ) \cos\left(\theta+2n\pi\right) cos ( θ + 2 n π )

− sin ⁡ θ -\sin\theta − sin θ

− cos ⁡ θ -\cos\theta − cos θ

同じ値のものを選べ tan ⁡ ( θ + 2 n π ) \tan\left(\theta+2n\pi\right) tan ( θ + 2 n π )

− tan ⁡ θ -\tan\theta − tan θ

1 tan ⁡ θ \frac{1}{\tan\theta} tan θ 1

− 1 tan ⁡ θ -\frac{1}{\tan\theta} − tan θ 1

同じ値のものを選べ sin ⁡ ( − θ ) \sin\left(-\theta\right) sin ( − θ )

− sin ⁡ θ -\sin\theta − sin θ

− cos ⁡ θ -\cos\theta − cos θ

同じ値のものを選べ cos ⁡ ( − θ ) \cos\left(-\theta\right) cos ( − θ )

− sin ⁡ θ -\sin\theta − sin θ

− cos ⁡ θ -\cos\theta − cos θ

同じ値のものを選べ tan ⁡ ( − θ ) \tan\left(-\theta\right) tan ( − θ )

− tan ⁡ θ -\tan\theta − tan θ

1 tan ⁡ θ \frac{1}{\tan\theta} tan θ 1

− 1 tan ⁡ θ -\frac{1}{\tan\theta} − tan θ 1

同じ値のものを選べ sin ⁡ ( θ + π 2 ) \sin\left(\theta+\frac{\pi}{2}\right) sin ( θ + 2 π )

− sin ⁡ θ -\sin\theta − sin θ

− cos ⁡ θ -\cos\theta − cos θ

同じ値のものを選べ cos ⁡ ( θ + π 2 ) \cos\left(\theta+\frac{\pi}{2}\right) cos ( θ + 2 π )

− sin ⁡ θ -\sin\theta − sin θ

− cos ⁡ θ -\cos\theta − cos θ

同じ値のものを選べ tan ⁡ ( θ + π 2 ) \tan\left(\theta+\frac{\pi}{2}\right) tan ( θ + 2 π )

− 1 tan ⁡ θ -\frac{1}{\tan\theta} − tan θ 1

− tan ⁡ θ -\tan\theta − tan θ

1 tan ⁡ θ \frac{1}{\tan\theta} tan θ 1

同じ値のものを選べ sin ⁡ ( π 2 − θ ) \sin\left(\frac{\pi}{2}-\theta\right) sin ( 2 π − θ )

− sin ⁡ θ -\sin\theta − sin θ

− cos ⁡ θ -\cos\theta − cos θ

同じ値のものを選べ cos ⁡ ( π 2 − θ ) \cos\left(\frac{\pi}{2}-\theta\right) cos ( 2 π − θ )

− sin ⁡ θ -\sin\theta − sin θ

− cos ⁡ θ -\cos\theta − cos θ

同じ値のものを選べ tan ⁡ ( π 2 − θ ) \tan\left(\frac{\pi}{2}-\theta\right) tan ( 2 π − θ )

1 tan ⁡ θ \frac{1}{\tan\theta} tan θ 1

− tan ⁡ θ -\tan\theta − tan θ

− 1 tan ⁡ θ -\frac{1}{\tan\theta} − tan θ 1

同じ値のものを選べ sin ⁡ ( θ + π ) \sin\left(\theta+\pi\right) sin ( θ + π )

− sin ⁡ θ -\sin\theta − sin θ

− cos ⁡ θ -\cos\theta − cos θ

同じ値のものを選べ cos ⁡ ( θ + π ) \cos\left(\theta+\pi\right) cos ( θ + π )

− cos ⁡ θ -\cos\theta − cos θ

− sin ⁡ θ -\sin\theta − sin θ

同じ値のものを選べ tan ⁡ ( θ + π ) \tan\left(\theta+\pi\right) tan ( θ + π )

− tan ⁡ θ -\tan\theta − tan θ

1 tan ⁡ θ \frac{1}{\tan\theta} tan θ 1

− 1 tan ⁡ θ -\frac{1}{\tan\theta} − tan θ 1

同じ値のものを選べ sin ⁡ ( π − θ ) \sin\left(\pi-\theta\right) sin ( π − θ )

− sin ⁡ θ -\sin\theta − sin θ

− cos ⁡ θ -\cos\theta − cos θ

同じ値のものを選べ cos ⁡ ( π − θ ) \cos\left(\pi-\theta\right) cos ( π − θ )

− cos ⁡ θ -\cos\theta − cos θ

− sin ⁡ θ -\sin\theta − sin θ

同じ値のものを選べ tan ⁡ ( π − θ ) \tan\left(\pi-\theta\right) tan ( π − θ )

− tan ⁡ θ -\tan\theta − tan θ

1 tan ⁡ θ \frac{1}{\tan\theta} tan θ 1

− 1 tan ⁡ θ -\frac{1}{\tan\theta} − tan θ 1

同じ値のものを選べ sin ⁡ ( θ + 3 2 π ) \sin\left(\theta+\frac{3}{2}\pi\right)\ sin ( θ + 2 3 π )

− cos ⁡ θ -\cos\theta − cos θ

− sin ⁡ θ -\sin\theta − sin θ

同じ値のものを選べ cos ⁡ ( θ + 3 2 π ) \cos\left(\theta+\frac{3}{2}\pi\right) cos ( θ + 2 3 π )

− sin ⁡ θ -\sin\theta − sin θ

− cos ⁡ θ -\cos\theta − cos θ

同じ値のものを選べ tan ⁡ ( θ + 3 2 π ) \tan\left(\theta+\frac{3}{2}\pi\right) tan ( θ + 2 3 π )

− 1 tan ⁡ θ -\frac{1}{\tan\theta} − tan θ 1

− tan ⁡ θ -\tan\theta − tan θ

1 tan ⁡ θ \frac{1}{\tan\theta} tan θ 1

同じ値のものを選べ sin ⁡ ( 3 2 π − θ ) \sin\left(\frac{3}{2}\pi-\theta\right) sin ( 2 3 π − θ )

− cos ⁡ θ -\cos\theta − cos θ

− sin ⁡ θ -\sin\theta − sin θ

同じ値のものを選べ cos ⁡ ( 3 2 π − θ ) \cos\left(\frac{3}{2}\pi-\theta\right) cos ( 2 3 π − θ )

− sin ⁡ θ -\sin\theta − sin θ

− cos ⁡ θ -\cos\theta − cos θ

同じ値のものを選べ tan ⁡ ( 3 2 π − θ ) \tan\left(\frac{3}{2}\pi-\theta\right) tan ( 2 3 π − θ )

1 tan ⁡ θ \frac{1}{\tan\theta} tan θ 1

− tan ⁡ θ -\tan\theta − tan θ

− 1 tan ⁡ θ -\frac{1}{\tan\theta} − tan θ 1

三角関数の性質Training

Authored by Kenji Takei

Mathematics

11th - 12th Grade

Used 32+ times

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

同じ値のものを選べ
$\sin\left(\theta+2n\pi\right)$

$\sin\theta$

$-\sin\theta$

$\cos\theta$

$-\cos\theta$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

同じ値のものを選べ
$\cos\left(\theta+2n\pi\right)$

$\sin\theta$

$-\sin\theta$

$\cos\theta$

$-\cos\theta$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

同じ値のものを選べ
$\tan\left(\theta+2n\pi\right)$

$\tan\theta$

$-\tan\theta$

$\frac{1}{\tan\theta}$

$-\frac{1}{\tan\theta}$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

同じ値のものを選べ
$\sin\left(-\theta\right)$

$\sin\theta$

$-\sin\theta$

$\cos\theta$

$-\cos\theta$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

同じ値のものを選べ
$\cos\left(-\theta\right)$

$\sin\theta$

$-\sin\theta$

$\cos\theta$

$-\cos\theta$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

同じ値のものを選べ
$\tan\left(-\theta\right)$

$\tan\theta$

$-\tan\theta$

$\frac{1}{\tan\theta}$

$-\frac{1}{\tan\theta}$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

同じ値のものを選べ
$\sin\left(\theta+\frac{\pi}{2}\right)$

$\sin\theta$

$-\sin\theta$

$\cos\theta$

$-\cos\theta$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

同じ値のものを選べ
$\cos\left(\theta+\frac{\pi}{2}\right)$

$\sin\theta$

$-\sin\theta$

$\cos\theta$

$-\cos\theta$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

同じ値のものを選べ
$\tan\left(\theta+\frac{\pi}{2}\right)$

$\tan\theta$

$-\tan\theta$

$\frac{1}{\tan\theta}$

$-\frac{1}{\tan\theta}$

10.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

同じ値のものを選べ
$\sin\left(\frac{\pi}{2}-\theta\right)$

$\sin\theta$

$-\sin\theta$

$\cos\theta$

$-\cos\theta$

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三角関数の性質Training

同じ値のものを選べ sin⁡(θ+2nπ)\sin\left(\theta+2n\pi\right)sin(θ+2nπ)

同じ値のものを選べ cos⁡(θ+2nπ)\cos\left(\theta+2n\pi\right)cos(θ+2nπ)

同じ値のものを選べ tan⁡(θ+2nπ)\tan\left(\theta+2n\pi\right)tan(θ+2nπ)

同じ値のものを選べ sin⁡(−θ)\sin\left(-\theta\right)sin(−θ)

同じ値のものを選べ cos⁡(−θ)\cos\left(-\theta\right)cos(−θ)

同じ値のものを選べ tan⁡(−θ)\tan\left(-\theta\right)tan(−θ)

同じ値のものを選べ sin⁡(θ+π2)\sin\left(\theta+\frac{\pi}{2}\right)sin(θ+2π​)

同じ値のものを選べ cos⁡(θ+π2)\cos\left(\theta+\frac{\pi}{2}\right)cos(θ+2π​)

同じ値のものを選べ tan⁡(θ+π2)\tan\left(\theta+\frac{\pi}{2}\right)tan(θ+2π​)

同じ値のものを選べ sin⁡(π2−θ)\sin\left(\frac{\pi}{2}-\theta\right)sin(2π​−θ)

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同じ値のものを選べ
$\sin\left(\theta+2n\pi\right)$

同じ値のものを選べ
$\cos\left(\theta+2n\pi\right)$

同じ値のものを選べ
$\tan\left(\theta+2n\pi\right)$

同じ値のものを選べ
$\sin\left(-\theta\right)$

同じ値のものを選べ
$\cos\left(-\theta\right)$

同じ値のものを選べ
$\tan\left(-\theta\right)$

同じ値のものを選べ
$\sin\left(\theta+\frac{\pi}{2}\right)$

同じ値のものを選べ
$\cos\left(\theta+\frac{\pi}{2}\right)$

同じ値のものを選べ
$\tan\left(\theta+\frac{\pi}{2}\right)$

同じ値のものを選べ
$\sin\left(\frac{\pi}{2}-\theta\right)$