Quiz about Ôn tập góc lượng giác & giá trị lượng giác || Toán 11

Question 1

Cos(180-a)?

Accepted Answer

-Cos(a)

Answer

Cos(a)

Answer

Sin(a)

Answer

-Sin(a)

Question 2

Sin(90-a)?

Accepted Answer

Cos(a)

Answer

Sin(a)

Answer

-Sin(a)

Answer

-Cos(a)

Question 3

Tan(180-a)?

Accepted Answer

-Tan(a)

Answer

Tan(a)

Answer

-Cot(a)

Answer

Cot(a)

Question 4

Cos(90-a)?

Accepted Answer

Sin(a)

Answer

Cos(a)

Answer

-Cos(a)

Answer

-Sin(a)

Question 5

Sin(180-a)?

Accepted Answer

Sin(a)

Answer

-Sin(a)

Answer

Cos(a)

Answer

-Cos(a)

Question 6

Tan(90-a)?

Accepted Answer

Cot(a)

Answer

Tan(a)

Answer

-Tan(a)

Answer

-Cot(a)

Question 7

Cot(180-a)?

Accepted Answer

-Cot(a)

Answer

Tan(a)

Answer

Cot(a)

Answer

Sin(a)

Question 8

Cos(90-a)?

Accepted Answer

Sin(a)

Answer

Cos(a)

Answer

-Cos(a)

Answer

-Sin(a)

Question 9

Cos(-a)?

Accepted Answer

Cos(a)

Answer

-Sin(a)

Answer

-Cos(a)

Answer

Sin(a)

Question 10

Sin(-a)?

Accepted Answer

-Sin(a)

Answer

Cot(a)

Answer

Tan(a)

Answer

Cos(a)

Question 11

Tan(-a)?

Accepted Answer

-Tan(a)

Answer

Sin(a)

Answer

-Cot(a)

Answer

Cos(a)

Question 12

Cot(-a)?

Accepted Answer

-Cot(a)

Answer

Tan(a)

Answer

Sin(a)

Answer

Cot(a)

Question 13

Cos(180+a)?

Accepted Answer

-Cos(a)

Answer

Tan(a)

Answer

Sin(a)

Answer

-Sin(a)

Question 14

Sin(180+a)?

Accepted Answer

-Sin(a)

Answer

Cos(a)

Answer

Tan(a)

Answer

Cot(a)

Question 15

Tan(180+a)?

Accepted Answer

Tan(a)

Answer

Cot(a)

Answer

Tan(-a)

Answer

-Tan(a)

Question 16

Cot(180+a)?

Accepted Answer

Cot(a)

Answer

Tan(a)

Answer

-Cot(a)

Answer

-Cot(180-a)

Question 17

Cos(90) = ?

Accepted Answer

0

Answer

1

Answer

45

Answer

180

Question 18

Cos(0) = ?

Accepted Answer

1

Answer

$$\frac{\sqrt[]{2}}{2}$$

Answer

$$\sqrt[]{3}$$

Answer

$$\frac{1}{2}$$

Question 19

Cos(30) = ?

Accepted Answer

$$\frac{\sqrt[]{3}}{2}$$

Answer

1

Answer

$$\frac{\sqrt[]{2}}{2}$$

Answer

$$\frac{1}{2}$$

Question 20

Cos(45) = ?

Accepted Answer

$$\frac{\sqrt[]{2}}{2}$$

Answer

1

Answer

$$\frac{1}{2}$$

Answer

$$\frac{\sqrt[]{3}}{2}$$

Question 21

Sin(0) = ?

Accepted Answer

0

Answer

1

Answer

$$\frac{\sqrt[]{2}}{2}$$

Answer

$$\frac{1}{\sqrt[]{3}}$$

Question 22

Sin(30) = ?

Accepted Answer

$$\frac{1}{2}$$

Answer

$$\frac{\sqrt[]{2}}{2}$$

Answer

$$\frac{\sqrt[]{3}}{2}$$

Answer

1

Question 23

Sin(45) = ?

Accepted Answer

$$\frac{\sqrt[]{2}}{2}$$

Answer

$$\frac{1}{2}$$

Answer

1

Answer

$$\frac{\sqrt[]{3}}{2}$$

Question 24

Sin(60) = ?

Accepted Answer

$$\frac{\sqrt[]{3}}{2}$$

Answer

$$\frac{\sqrt[]{2}}{2}$$

Answer

0

Answer

1

Question 25

Sin(90) = ?

Accepted Answer

1

Answer

$$\frac{\sqrt[]{2}}{2}$$

Answer

0

Answer

$$\frac{1}{2}$$

Question 26

Tan(0) = ?

Accepted Answer

0

Answer

$$\frac{1}{2}$$

Answer

1

Answer

Undefined

Question 27

Tan(30) = ?

Accepted Answer

$$\frac{1}{\sqrt[]{3}}$$

Answer

$$\frac{\sqrt[]{2}}{2}$$

Answer

$$\frac{1}{2}$$

Answer

$$\sqrt[]{3}$$

Question 28

Tan(45) = ?

Accepted Answer

1

Answer

2

Answer

0.5

Answer

90

Question 29

Tan(60) = ?

Accepted Answer

$$\sqrt[]{3}$$

Answer

0

Answer

$$\frac{\sqrt[]{3}}{2}$$

Answer

1

Question 30

Tan(90) = ?

Accepted Answer

Undefined

Answer

$$\frac{\sqrt[]{2}}{2}$$

Answer

0

Answer

1

Question 31

Cot(0) = ?

Accepted Answer

Undefined

Answer

0

Answer

$$\frac{1}{2}$$

Answer

1

Question 32

Cot(30) = ?

Accepted Answer

$$\sqrt[]{3}$$

Answer

$$\frac{\sqrt[]{2}}{2}$$

Answer

1

Answer

$$\frac{1}{\sqrt[]{3}}$$

Question 33

Cot(45) = ?

Accepted Answer

1

Answer

$$\frac{1}{2}$$

Answer

0

Answer

$$\frac{1}{\sqrt[]{3}}$$

Question 34

Cot(60) = ?

Accepted Answer

$$\frac{1}{\sqrt[]{3}}$$

Answer

1

Answer

$$\frac{1}{2}$$

Answer

$$\frac{\sqrt[]{2}}{3}$$

Question 35

Cot(90) = ?

Accepted Answer

0

Answer

1

Answer

$$\frac{\sqrt[]{2}}{2}$$

Answer

Undefined

Question 36

$$Sin2\alpha\ =\ ?$$

Accepted Answer

$$2\sin\alpha\ .\cos\alpha$$

Answer

$$2\sin\alpha^2$$

Answer

$$\sin\alpha\ .\cos\alpha$$

Answer

$$2\sin\alpha-1$$

Question 37

$$Cos2a\ =\ ?$$

Accepted Answer

$$2\cos^2\alpha-1$$

Answer

$$\cos^2\alpha+1$$

Answer

$$2\cos\alpha-1$$

Answer

$$\cos^2\alpha-1$$

Question 38

$$Cos2\alpha=?$$

Accepted Answer

$$1-2\sin^2\alpha$$

Answer

$$2\sin^2\alpha-1$$

Answer

$$2\sin\alpha-1$$

Answer

$$1+2\sin^2\alpha$$

Question 39

$$Cos2\alpha=?$$

Accepted Answer

$$\cos^2a-\sin^2\alpha$$

Answer

$$\cos a-\sin\alpha$$

Answer

$$\cos^2a+\sin^2\alpha$$

Answer

$$2\cos^2a-\sin^2\alpha$$

Question 40

$$ an2\alpha=?$$

Accepted Answer

$$\frac{2 an\alpha}{1- an^2\alpha}$$

Answer

$$\frac{ an\alpha}{1- an^2\alpha}$$

Answer

$$\frac{2 an\alpha}{1+ an^2\alpha}$$

Answer

$$\frac{2 an\alpha}{ an^2\alpha-1}$$

Question 41

$$\sin^2\alpha=?$$

Accepted Answer

$$\frac{1-\cos2\alpha}{2}$$

Answer

$$\frac{\cos2\alpha-1}{2}$$

Answer

$$\frac{1+\cos2\alpha}{2}$$

Answer

$$\frac{1-\cos^2\alpha}{2}$$

Question 42

$$\cos^2\alpha=?$$

Accepted Answer

$$\frac{1+\cos2\alpha}{2}$$

Answer

$$\frac{\cos2\alpha+1}{2}$$

Answer

$$\frac{1-\cos2\alpha}{2}$$

Answer

$$\frac{\cos2\alpha-1}{2}$$

Question 43

$$\sin3a=?$$

Accepted Answer

$$3\sin\alpha-4\sin^3\alpha$$

Answer

$$4\sin\alpha+3\sin^3\alpha$$

Answer

$$3\sin\alpha+4\sin^3\alpha$$

Answer

$$4\sin\alpha-3\sin^3\alpha$$

Question 44

$$\cos3\alpha=?$$

Accepted Answer

$$4\cos^3\alpha-3\cos\alpha$$

Answer

$$4\cos\alpha-3\cos^3\alpha$$

Answer

$$3\cos^3\alpha-4\cos\alpha$$

Answer

$$3\cos\alpha-4\cos^3\alpha$$

Question 45

$$\cos\alpha\ .\ \cos\beta\ =\ ?$$

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 46

$$\sin\alpha\ .\ \sin\beta\ =\ ?$$

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 47

$$\sin\alpha\ .\ \cos\beta\ =\ ?$$

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 48

$$\cos\alpha\ +\ \cos\beta\ =\ ?$$

Accepted Answer

$$2\cos\frac{\alpha+\beta}{2}.\cos\frac{\alpha-\beta}{2}$$

Answer

$$2\cos\frac{\alpha+\beta}{2}.\sin\frac{\alpha-\beta}{2}$$

Answer

$$2\cos\frac{\alpha+\beta}{2}.\cos\frac{\beta-\alpha}{2}$$

Answer

$$2\sin\frac{\alpha+\beta}{2}.\sin\frac{\alpha-\beta}{2}$$

Question 49

$$\cos\alpha-\cos\beta\ =\ ?$$

Accepted Answer

$$-2\sin\frac{\alpha+\beta}{2}.\sin\frac{\alpha-\beta}{2}$$

Answer

$$2\sin\frac{\alpha+\beta}{2}.\sin\frac{\alpha-\beta}{2}$$

Answer

$$-2\cos\frac{\alpha+\beta}{2}.\cos\frac{\alpha-\beta}{2}$$

Answer

$$-2\sin\frac{\alpha+\beta}{2}.\cos\frac{\alpha-\beta}{2}$$

Question 50

$$\sin\alpha+\sin\beta\ =\ ?$$

Accepted Answer

$$2\sin\frac{\alpha+\beta}{2}\ .\ \cos\frac{\alpha-\beta}{2}$$

Answer

$$2\sin\frac{\alpha+\beta}{2}\ .\ \sin\frac{\alpha+\beta}{2}$$

Answer

$$2\sin\frac{\alpha+\beta}{2}\ .\ \cos\frac{\alpha+\beta}{2}$$

Answer

$$2\cos\frac{\alpha-\beta}{2}\ .\ \cos\frac{\alpha-\beta}{2}$$

Question 51

$$\sin\alpha\ -\ \sin\beta\ =\ ?$$

Accepted Answer

$$2\cos\frac{\alpha+\beta}{2}\ .\ \sin\frac{\alpha-\beta}{2}$$

Answer

$$2\sin\frac{\alpha+\beta}{2}\ .\ \sin\frac{\alpha-\beta}{2}$$

Answer

$$2\cos\frac{\alpha+\beta}{2}\ .\ \cos\frac{\alpha-\beta}{2}$$

Answer

$$2\cos\frac{\alpha-\beta}{2}\ .\ \sin\frac{\alpha-\beta}{2}$$

Ôn tập góc lượng giác & giá trị lượng giác || Toán 11

57 questions

Cos(180-a)?

Sin(90-a)?

Tan(180-a)?

Cos(90-a)?

Sin(180-a)?

Tan(90-a)?

Cot(180-a)?

Cos(90-a)?

Cos(-a)?

Sin(-a)?

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