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

Total questions: 57

Worksheet time: 29mins

Name
Class
Date
1.

Cos(180-a)?

a)

Cos(a)

b)

-Cos(a)

c)

Sin(a)

d)

-Sin(a)

2.

Sin(90-a)?

a)

Sin(a)

b)

-Sin(a)

c)

Cos(a)

d)

-Cos(a)

3.

Tan(180-a)?

a)

Tan(a)

b)

-Tan(a)

c)

-Cot(a)

d)

Cot(a)

4.

Cos(90-a)?

a)

Cos(a)

b)

-Cos(a)

c)

Sin(a)

d)

-Sin(a)

5.

Sin(180-a)?

a)

Sin(a)

b)

-Sin(a)

c)

Cos(a)

d)

-Cos(a)

6.

Tan(90-a)?

a)

Tan(a)

b)

-Tan(a)

c)

-Cot(a)

d)

Cot(a)

7.

Cot(180-a)?

a)

-Cot(a)

b)

Tan(a)

c)

Cot(a)

d)

Sin(a)

8.

Cos(90-a)?

a)

Cos(a)

b)

-Cos(a)

c)

Sin(a)

d)

-Sin(a)

9.

Cos(-a)?

a)

Cos(a)

b)

-Sin(a)

c)

-Cos(a)

d)

Sin(a)

10.

Sin(-a)?

a)

-Sin(a)

b)

Cot(a)

c)

Tan(a)

d)

Cos(a)

11.

Tan(-a)?

a)

Sin(a)

b)

-Cot(a)

c)

Cos(a)

d)

-Tan(a)

12.

Cot(-a)?

a)

-Cot(a)

b)
Tan(a)
c)

Sin(a)

d)

Cot(a)

13.

Cos(180+a)?

a)
Tan(a)
b)

Sin(a)

c)
-Cos(a)
d)
-Sin(a)
14.

Sin(180+a)?

a)
-Sin(a)
b)
Cos(a)
c)
Tan(a)
d)
Cot(a)
15.

Tan(180+a)?

a)

Cot(a)

b)

Tan(-a)

c)

-Tan(a)

d)

Tan(a)

16.

Cot(180+a)?

a)

Tan(a)

b)

Cot(a)

c)

-Cot(a)

d)

-Cot(180-a)

17.

Đâu là hệ thức cơ bản đúng?

a)

Sin²a - Cos²a = 1

b)

Sin²a - Cos²a = 0

c)

Sin²a + Cos²a = 1

d)

Sin²a + Cos²a = 0

18.

Đâu là hệ thức cơ bản đúng?

a)

1cos⁡2α=1−tan⁡2α\frac{1}{\cos^2\alpha}=1-\tan^2\alpha

b)

1sin⁡2α=1+tan⁡2α\frac{1}{\sin^2\alpha}=1+\tan^2\alpha

c)

1sin⁡2α=1−tan⁡2α\frac{1}{\sin^2\alpha}=1-\tan^2\alpha

d)

1cos⁡2α=1+tan⁡2α\frac{1}{\cos^2\alpha}=1+\tan^2\alpha

19.

Đâu là hệ thức cơ bản đúng?

a)

1sin⁡2α=1+cot⁡2α\frac{1}{\sin^2\alpha}=1+\cot^2\alpha

b)

1cos⁡2α=1−tan⁡2α\frac{1}{\cos^2\alpha}=1-\tan^2\alpha

c)

1sin⁡2α=1+tan⁡2α\frac{1}{\sin^2\alpha}=1+\tan^2\alpha

d)

1cos⁡2α=1−cot⁡2α\frac{1}{\cos^2\alpha}=1-\cot^2\alpha

20.

Đâu là hệ thức cơ bản đúng?

a)

Tan²a.Cot²a = 1

b)

Tana.Cota' = 0

c)

Tan²a.Cot²a = 0

d)

Tana.Cota= 1

21.

Cos(90) = ?

a)
1
b)
0
c)
45
d)
180
22.

Cos(0) = ?

a)
1
b)

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

c)

3\sqrt[]{3}

d)

12\frac{1}{2}

23.

Cos(30) = ?

a)

1

b)

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

c)

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

d)

12\frac{1}{2}

24.

Cos(45) = ?

a)

1

b)

12\frac{1}{2}

c)

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

d)

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

25.

Sin(0) = ?

a)
1
b)

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

c)

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

d)
0
26.

Sin(30) = ?

a)

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

b)

12\frac{1}{2}

c)

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

d)

1

27.

Sin(45) = ?

a)

12\frac{1}{2}

b)
1
c)

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

d)

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

28.

Sin(60) = ?

a)

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

b)

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

c)

0

d)
1
29.

Sin(90) = ?

a)

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

b)
1
c)
0
d)

12\frac{1}{2}

30.

Tan(0) = ?

a)
0
b)

12\frac{1}{2}

c)
1
d)

Undefined

31.

Tan(30) = ?

a)

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

b)

12\frac{1}{2}

c)

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

d)

3\sqrt[]{3}

32.

Tan(45) = ?

a)
2
b)
0.5
c)
90
d)
1
33.

Tan(60) = ?

a)
0
b)

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

c)

3\sqrt[]{3}

d)
1
34.

Tan(90) = ?

a)

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

b)
0
c)

1

d)

Undefined

35.

Cot(0) = ?

a)

Undefined

b)

0

c)


12\frac{1}{2}

d)

1

36.

Cot(30) = ?

a)

3\sqrt[]{3}

b)

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

c)
1
d)

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

37.

Cot(45) = ?

a)

12\frac{1}{2}

b)

0

c)
1
d)

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

38.

Cot(60) = ?

a)

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

b)
1
c)

12\frac{1}{2}

d)

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

39.

Cot(90) = ?

a)
1
b)
0
c)

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

d)

Undefined

40.

Đâu là hệ thức cơ bản đúng?

a)

tan⁡(α+β)=tan⁡a+tan⁡b1+tan⁡a .tan⁡b\tan\left(\alpha+\beta\right)=\frac{\tan a+\tan b}{1+\tan a\ .\tan b}

b)

tan⁡(α+β)=tan⁡a+tan⁡b1+tan⁡b .tan⁡b\tan\left(\alpha+\beta\right)=\frac{\tan a+\tan b}{1+\tan b\ .\tan b}

c)

tan⁡(α+β)=tan⁡a+tan⁡b1−tan⁡a .tan⁡b\tan\left(\alpha+\beta\right)=\frac{\tan a+\tan b}{1-\tan a\ .\tan b}

d)

tan⁡(α+β)=tan⁡a−tan⁡a1+tan⁡a .tan⁡b\tan\left(\alpha+\beta\right)=\frac{\tan a-\tan a}{1+\tan a\ .\tan b}

41.

Đâu là hệ thức cơ bản đúng?

a)

tan⁡(α−β)=tan⁡a+tan⁡b1−tan⁡a .tan⁡b\tan\left(\alpha-\beta\right)=\frac{\tan a+\tan b}{1-\tan a\ .\tan b}

b)

tan⁡(α−β)=tan⁡a−tan⁡b1+tan⁡a .tan⁡b\tan\left(\alpha-\beta\right)=\frac{\tan a-\tan b}{1+\tan a\ .\tan b}

c)

tan⁡(α−β)=tan⁡a+tan⁡b1−tan⁡a .tan⁡a\tan\left(\alpha-\beta\right)=\frac{\tan a+\tan b}{1-\tan a\ .\tan a}

d)

tan⁡(α−β)=tan⁡a−tan⁡b1−tan⁡a .tan⁡b\tan\left(\alpha-\beta\right)=\frac{\tan a-\tan b}{1-\tan a\ .\tan b}

42.

Sin2α = ?Sin2\alpha\ =\ ?

a)


2sin⁡α .cos⁡α2\sin\alpha\ .\cos\alpha

b)

2sin⁡α22\sin\alpha^2

c)

sin⁡α .cos⁡α\sin\alpha\ .\cos\alpha

d)

2sin⁡α−12\sin\alpha-1

43.

Cos2a = ?Cos2a\ =\ ?

a)

cos⁡2α+1\cos^2\alpha+1

b)

2cos⁡2α−12\cos^2\alpha-1

c)

2cos⁡α−12\cos\alpha-1

d)

cos⁡2α−1\cos^2\alpha-1

44.

Cos2α=?Cos2\alpha=?

a)

2sin⁡2α−12\sin^2\alpha-1

b)

2sin⁡α−12\sin\alpha-1

c)

1+2sin⁡2α1+2\sin^2\alpha

d)

1−2sin⁡2α1-2\sin^2\alpha

45.

Cos2α=?Cos2\alpha=?

a)

cos⁡a−sin⁡α\cos a-\sin\alpha

b)

cos⁡2a−sin⁡2α\cos^2a-\sin^2\alpha

c)

cos⁡2a+sin⁡2α\cos^2a+\sin^2\alpha

d)

2cos⁡2a−sin⁡2α2\cos^2a-\sin^2\alpha

46.

tan⁡2α=?\tan2\alpha=?

a)

tan⁡α1−tan⁡2α\frac{\tan\alpha}{1-\tan^2\alpha}

b)

2tan⁡α1−tan⁡2α\frac{2\tan\alpha}{1-\tan^2\alpha}

c)

2tan⁡α1+tan⁡2α\frac{2\tan\alpha}{1+\tan^2\alpha}

d)

2tan⁡αtan⁡2α−1\frac{2\tan\alpha}{\tan^2\alpha-1}

47.

sin⁡2α=?\sin^2\alpha=?

a)

cos⁡2α−12\frac{\cos2\alpha-1}{2}

b)

1−cos⁡2α2\frac{1-\cos2\alpha}{2}

c)

1+cos⁡2α2\frac{1+\cos2\alpha}{2}

d)

1−cos⁡2α2\frac{1-\cos^2\alpha}{2}

48.

cos⁡2α=?\cos^2\alpha=?

a)

cos⁡2α+12\frac{\cos2\alpha+1}{2}

b)

1+cos⁡2α2\frac{1+\cos2\alpha}{2}

c)

1−cos⁡2α2\frac{1-\cos2\alpha}{2}

d)

cos⁡2α−12\frac{\cos2\alpha-1}{2}

49.

sin⁡3a=?\sin3a=?

a)

3sin⁡α−4sin⁡3α3\sin\alpha-4\sin^3\alpha

b)

4sin⁡α+3sin⁡3α4\sin\alpha+3\sin^3\alpha

c)

3sin⁡α+4sin⁡3α3\sin\alpha+4\sin^3\alpha

d)

4sin⁡α−3sin⁡3α4\sin\alpha-3\sin^3\alpha

50.

cos⁡3α=?\cos3\alpha=?

a)

4cos⁡α−3cos⁡3α4\cos\alpha-3\cos^3\alpha

b)

3cos⁡3α−4cos⁡α3\cos^3\alpha-4\cos\alpha

c)

4cos⁡3α−3cos⁡α4\cos^3\alpha-3\cos\alpha

d)

3cos⁡α−4cos⁡3α3\cos\alpha-4\cos^3\alpha

51.

cos⁡α . cos⁡β = ?\cos\alpha\ .\ \cos\beta\ =\ ?

a)

12(cos⁡(α+β)+cos⁡(α−β))\frac{1}{2}\left(\cos\left(\alpha+\beta\right)+\cos\left(\alpha-\beta\right)\right)

b)

12(cos⁡(α−β)+cos⁡(α−β))\frac{1}{2}\left(\cos\left(\alpha-\beta\right)+\cos\left(\alpha-\beta\right)\right)

c)

12(cos⁡(α−β)−cos⁡(α+β))\frac{1}{2}\left(\cos\left(\alpha-\beta\right)-\cos\left(\alpha+\beta\right)\right)

d)

12(cos⁡(α+β)−cos⁡(α+β))\frac{1}{2}\left(\cos\left(\alpha+\beta\right)-\cos\left(\alpha+\beta\right)\right)

52.

sin⁡α . sin⁡β = ?\sin\alpha\ .\ \sin\beta\ =\ ?

a)

−12(cos⁡(α+β)−cos⁡(α−β))-\frac{1}{2}\left(\cos\left(\alpha+\beta\right)-\cos\left(\alpha-\beta\right)\right)

b)

−12(cos⁡(α−β)+cos⁡(α+β))-\frac{1}{2}\left(\cos\left(\alpha-\beta\right)+\cos\left(\alpha+\beta\right)\right)

c)

−12(cos⁡(α−β)+cos⁡(α−β))-\frac{1}{2}\left(\cos\left(\alpha-\beta\right)+\cos\left(\alpha-\beta\right)\right)

d)

−12(cos⁡(α−β)−cos⁡(α+β))-\frac{1}{2}\left(\cos\left(\alpha-\beta\right)-\cos\left(\alpha+\beta\right)\right)

53.

sin⁡α . cos⁡β = ?\sin\alpha\ .\ \cos\beta\ =\ ?

a)

12(sin⁡(α+β)−sin⁡(α−β))\frac{1}{2}\left(\sin\left(\alpha+\beta\right)-\sin\left(\alpha-\beta\right)\right)

b)

12(sin⁡(α+β)+sin⁡(α−β))\frac{1}{2}\left(\sin\left(\alpha+\beta\right)+\sin\left(\alpha-\beta\right)\right)

c)

12(sin⁡(α−β)+sin⁡(α−β))\frac{1}{2}\left(\sin\left(\alpha-\beta\right)+\sin\left(\alpha-\beta\right)\right)

d)

12(sin⁡(α−β)−sin⁡(α+β))\frac{1}{2}\left(\sin\left(\alpha-\beta\right)-\sin\left(\alpha+\beta\right)\right)

54.

cos⁡α + cos⁡β = ?\cos\alpha\ +\ \cos\beta\ =\ ?

a)

2cos⁡α+β2.sin⁡α−β22\cos\frac{\alpha+\beta}{2}.\sin\frac{\alpha-\beta}{2}

b)

2cos⁡α+β2.cos⁡α−β22\cos\frac{\alpha+\beta}{2}.\cos\frac{\alpha-\beta}{2}

c)

2cos⁡α+β2.cos⁡β−α22\cos\frac{\alpha+\beta}{2}.\cos\frac{\beta-\alpha}{2}

d)

2sin⁡α+β2.sin⁡α−β22\sin\frac{\alpha+\beta}{2}.\sin\frac{\alpha-\beta}{2}

55.

cos⁡α−cos⁡β = ?\cos\alpha-\cos\beta\ =\ ?

a)

2sin⁡α+β2.sin⁡α−β22\sin\frac{\alpha+\beta}{2}.\sin\frac{\alpha-\beta}{2}

b)

−2cos⁡α+β2.cos⁡α−β2-2\cos\frac{\alpha+\beta}{2}.\cos\frac{\alpha-\beta}{2}

c)

−2sin⁡α+β2.sin⁡α−β2-2\sin\frac{\alpha+\beta}{2}.\sin\frac{\alpha-\beta}{2}

d)

−2sin⁡α+β2.cos⁡α−β2-2\sin\frac{\alpha+\beta}{2}.\cos\frac{\alpha-\beta}{2}

56.

sin⁡α+sin⁡β = ?\sin\alpha+\sin\beta\ =\ ?

a)

2sin⁡α+β2 . sin⁡α+β22\sin\frac{\alpha+\beta}{2}\ .\ \sin\frac{\alpha+\beta}{2}

b)

2sin⁡α+β2 . cos⁡α−β22\sin\frac{\alpha+\beta}{2}\ .\ \cos\frac{\alpha-\beta}{2}

c)

2sin⁡α+β2 . cos⁡α+β22\sin\frac{\alpha+\beta}{2}\ .\ \cos\frac{\alpha+\beta}{2}

d)

2cos⁡α−β2 . cos⁡α−β22\cos\frac{\alpha-\beta}{2}\ .\ \cos\frac{\alpha-\beta}{2}

57.

sin⁡α − sin⁡β = ?\sin\alpha\ -\ \sin\beta\ =\ ?

a)

2sin⁡α+β2 . sin⁡α−β22\sin\frac{\alpha+\beta}{2}\ .\ \sin\frac{\alpha-\beta}{2}

b)

2cos⁡α+β2 . cos⁡α−β22\cos\frac{\alpha+\beta}{2}\ .\ \cos\frac{\alpha-\beta}{2}

c)

2cos⁡α+β2 . sin⁡α−β22\cos\frac{\alpha+\beta}{2}\ .\ \sin\frac{\alpha-\beta}{2}

d)

2cos⁡α−β2 . sin⁡α−β22\cos\frac{\alpha-\beta}{2}\ .\ \sin\frac{\alpha-\beta}{2}