誘導公式 Quiz: 15 Practice Questions

15 questions

Show all answers

1.

MATCH QUESTION

1 min • 1 pt

配對題:已知 $\alpha$ 是一個銳角，試判定下列角的終邊在哪個象限?

第三象限

$-\alpha或2\pi-\alpha$

第四象限

$2\pi+\alpha$

第二象限

$\pi+\alpha$

第一象限

$\pi-\alpha$

2.

MATCH QUESTION

1 min • 1 pt

配對

$\sqrt[]{x^2+y^2}$

$\sin\alpha=$

$\frac{y}{r}$

$r=$

$\frac{y}{x}$

cos $\alpha=$

$\frac{x}{r}$

tan $\alpha=$

3.

REORDER QUESTION

1 min • 1 pt

把下列各個弧度制表示的角，請由小到大排列.

$\frac{\pi}{6}$

$\alpha$ = 1 (rad)

$\frac{\pi}{3}$

$\frac{\pi}{4}$

$\beta=$ 0 (rad)

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

sin $\left(180\degree+\alpha\right)$ =

$\sin\alpha$

cos $\alpha$

$-\sin\alpha$

$-\cos\alpha$

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

cos(−α)=

sin α

−sin α

$\cos\alpha$

$-\cos\alpha$

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

sin( $\pi-\alpha$ )=

$\sin\alpha$

$-\sin\ \alpha$

$\cos\alpha$

$-\cos\alpha$

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

tan $\left(-\alpha\right)$ =

$\tan\alpha$

$-\tan\alpha$

cot $\alpha$

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

8.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

cos $\left(\pi+\alpha\right)$ =

sin α

-sin α

cos α

-cos α

9.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\sin\left(2\pi-\alpha\right)$ =

$\sin\alpha$

$-\sin\alpha$

$-\cos\alpha$

$\cos\alpha$

10.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

tan $\left(\pi+\alpha\right)$ =

tan α

-tan α

cot α

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

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誘導公式

配對題:已知 α\alphaα 是一個銳角，試判定下列角的終邊在哪個象限?

配對

把下列各個弧度制表示的角，請由小到大排列.

sin (180°+α)\left(180\degree+\alpha\right)(180°+α) =

cos(−α)=

sin( π−α\pi-\alphaπ−α )=

tan (−α)\left(-\alpha\right)(−α) =

cos (π+α)\left(\pi+\alpha\right)(π+α) =

sin⁡(2π−α)\sin\left(2\pi-\alpha\right)sin(2π−α) =

tan (π+α)\left(\pi+\alpha\right)(π+α) =

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配對題:已知 $\alpha$ 是一個銳角，試判定下列角的終邊在哪個象限?

sin $\left(180\degree+\alpha\right)$ =

sin( $\pi-\alpha$ )=

tan $\left(-\alpha\right)$ =

cos $\left(\pi+\alpha\right)$ =

$\sin\left(2\pi-\alpha\right)$ =

tan $\left(\pi+\alpha\right)$ =