Free Printable Tất tần tật về lượng giác

1.

sin2a = ?

a)

2sina.cosa

b)

2cos²a.sin²a

c)

cos²a - sin²a

d)

sin²a + cos²a

2.

Chọn câu sai: cos2a = ?

a)

cos²a - sin²a

b)

2cos²a - 1

c)

1 - 2sin²a

d)

sin²a + cos²a

3.

sin4a = ?

a)

sin2a.cos2a

b)

2sin2a.cos2a

c)

4sin2a.cos2a

d)

4sin2a.cos2a

4.

cos4a = ?

a)

2sin2a.cos2a

b)

2sin2a - 2cos2a

c)

cos²2a - sin²2a

d)

cos²2a + sin²2a

5.

sin8a = ?

a)

sin4a.cos4a

b)

4sin4a.cos4a

c)

2sin4a.cos4a

d)

8sin4a.cos4a

6.

Điều kiện của y = tanx là:

a)

cosx $\ne$ 0

b)

sinx $\ne$ 0

c)

$\frac{\sin x}{\cos x}\ne0$

d)

sinx + cosx $\ne$ 0

7.

Điều kiện của y = cotx là:

a)

$\frac{\sin x}{\cos x}\ne0$

b)

sinx + cosx $\ne$ 0

c)

cosx $\ne$ 0

d)

sinx $\ne$ 0

8.

Tập giá trị của sinu là:

a)

(-1: 1)

b)

[-1: 1]

c)

[0; 1]

d)

(0; 1)

9.

Tập giá trị của cosu là:

a)

[-1; 1]

b)

(-1; 1)

c)

(0; 1)

d)

[0; 1]

10.

Tập giá trị của sin²u và cos²u là:

a)

(-1; 1)

b)

[-1; 1]

c)

(0; 1)

d)

[0; 1]

11.

Chọn câu sai:

a)

sin(-a) = -sina

b)

cos(-a) = -cosa

c)

tan(-a) = -tana

d)

cot(-a) = -cota

12.

Chọn câu sai:

a)

-sina = sin(-a)

b)

-cosa = cos(-a)

c)

-tana = tan(-a)

d)

-cota = cot(-a)

13.

sin(a + b) = ?

a)

sinacosa + sinbcosb

b)

sinacosb + sinbcosa

c)

sinasinb + cosacosb

d)

sinasinb + sinasinb

14.

sin(a - b) = ?

a)

sinasinb - sinbsina

b)

cosacosb - sinasinb

c)

sinacosb - sinbcosa

d)

sinbcosa - sinacosb

15.

cos(a + b) = ?

a)

sinasinb + cosacosb

b)

sinasinb - cosacosb

c)

cosacosb - sinasinb

d)

sinacosb - sinbcosa

16.

cos(a - b) = ?

a)

sinasinb - cosacosb

b)

cosacosb - sinasinb

c)

sinacosb - sinbcosa

d)

sinasinb + cosacosb

17.

tan(a + b) = ?

a)

$\frac{\tan a+\tan b}{1-\tan a\tan b}$

b)

$\frac{\tan a-\tan b}{1+\tan a\tan b}$

c)

$\frac{\tan a+\tan b}{1+\tan a\tan b}$

d)

$\frac{\tan a-\tan b}{1-\tan a\tan b}$

18.

tan(a - b) = ?

a)

$\frac{\tan a+\tan b}{1+\tan a\tan b}$

b)

$\frac{\tan a-\tan b}{1-\tan a\tan b}$

c)

$\frac{\tan a-\tan b}{1+\tan a\tan b}$

d)

$\frac{\tan a+\tan b}{1-\tan a\tan b}$

19.

sin3a = ?

a)

3sina + 4sin³a

b)

4sina + 3sin³a

c)

4sina - 3sin³a

d)

3sina - 4sin³a

20.

cos3a = ?

a)

3cosa - 4cos³a

b)

4cosa - 3cos³a

c)

4cos³a - 3cosa

d)

3cos³a - 4cosa

21.

cos²a = ?

a)

$\frac{1-\cos2a}{2}$

b)

$\frac{1-\sin2a}{2}$

c)

$\frac{1+\cos2a}{2}$

d)

$\frac{1-\sin2a}{2}$

22.

sin²a = ?

a)

$\frac{1+\cos2a}{2}$

b)

$\frac{1-\cos2a}{2}$

c)

$\frac{1+\sin2a}{2}$

d)

$\frac{1-\sin2a}{2}$

23.

tan²a = ?

a)

$\frac{1-\cos2a}{1+\cos2a}$

b)

$\frac{1+\cos2a}{1-\cos2a}$

c)

$\frac{1-\sin2a}{1+\sin2a}$

d)

$\frac{1+\sin2a}{1-\sin2a}$

24.

sin3a = ?

a)

$\frac{-\sin a+3\sin a}{4}$

b)

$\frac{-\sin3a+\sin a}{4}$

c)

$\frac{-\sin3a+3\sin3a}{4}$

d)

$\frac{-\sin3a+3\sin a}{4}$

25.

cos³a = ?

a)

$\frac{\cos3a+\cos a}{4}$

b)

$\frac{3\cos a+\cos3a}{4}$

c)

$\frac{3\cos3a+3\cos a}{4}$

d)

$\frac{\cos3a+3\cos a}{4}$

26.

sin = 0 <=> ?

a)

$x=k\pi$

b)

$x=\frac{k\pi}{2}$

c)

$x=\frac{\pi}{2}+k\pi$

d)

$x=-\frac{\pi}{2}+k\pi$

27.

sinx = 1 <=> ?

a)

$x=k\pi$

b)

$x=\frac{\pi}{2}+k2\pi$

c)

$x=-\frac{\pi}{2}+k2\pi$

d)

$x=\frac{k\pi}{2}$

28.

sinx = -1 <=> ?

a)

$x=k\pi$

b)

$x=\frac{\pi}{2}+k2\pi$

c)

$x=-\frac{\pi}{2}+k2\pi$

d)

$x=\frac{k\pi}{2}$

29.

cosx = 0 <=> ?

a)

$x=k\pi$

b)

$x=\frac{\pi}{2}+k\pi$

c)

$x=-\frac{\pi}{2}+k\pi$

d)

$x=\frac{k\pi}{2}$

30.

cosx = 1 <=> ?

a)

$x=\frac{k\pi}{2}$

b)

$x=\frac{\pi}{2}+k\pi$

c)

$x=-\frac{\pi}{2}+k\pi$

d)

$x=k2\pi$

31.

cosx = -1 <=> ?

a)

$x=k2\pi$

b)

$x=\frac{\pi}{2}+k\pi$

c)

$x=-\frac{\pi}{2}+k\pi$

d)

$x=\pi+k2\pi$

32.

tanx = 0 <=> ?

a)

$x=k\pi$

b)

$x=\frac{\pi}{4}+k\pi$

c)

$x=-\frac{\pi}{4}+k\pi$

d)

$x=\pi+k\pi$

33.

tanx = 1 <=> ?

a)

$x=k\pi$

b)

$x=\frac{\pi}{4}+k\pi$

c)

$x=-\frac{\pi}{4}+k\pi$

d)

$x=\pi+k\pi$

34.

tanx = -1 <=> ?

a)

$x=k\pi$

b)

$x=\frac{\pi}{4}+k\pi$

c)

$x=-\frac{\pi}{4}+k\pi$

d)

$x=\pi+k\pi$

35.

cotx = 0 <=> ?

a)

$x=k\pi$

b)

$x=\frac{\pi}{4}+k\pi$

c)

$x=-\frac{\pi}{4}+k\pi$

d)

$x=\frac{\pi}{2}+k\pi$

36.

cotx = 1 <=> ?

a)

$x=k\pi$

b)

$x=\frac{\pi}{4}+k\pi$

c)

$x=-\frac{\pi}{4}+k\pi$

d)

$x=\frac{\pi}{2}+k\pi$

37.

cotx = -1 <=> ?

a)

$x=k\pi$

b)

$x=\frac{\pi}{4}+k\pi$

c)

$x=-\frac{\pi}{4}+k\pi$

d)

$x=\frac{\pi}{2}+k\pi$

38.

Trong tam giác ABC,
$\sin\left(\frac{A+B}{2}\right)\ =\ ?$

a)

$\sin\frac{C}{2}$

b)

sinC

c)

cosC

d)

$\cos\frac{C}{2}$

39.

Trong tam giác ABC,
$\cos\left(\frac{A+B}{2}\right)\ =\ ?$

a)

$\sin\frac{C}{2}$

b)

sinC

c)

cosC

d)

$\cos\frac{C}{2}$

40.

Trong tam giác ABC,
$\cos\left(A+B\right)\ =\ ?$

a)

$\sin\frac{C}{2}$

b)

sinC

c)

-cosC

d)

$\cos\frac{C}{2}$

41.

Trong tam giác ABC,
$\sin\left(A+B\right)\ =\ ?$

a)

$\sin\frac{C}{2}$

b)

sinC

c)

-cosC

d)

$\cos\frac{C}{2}$

42.

Trong tam giác ABC, sinC = ?

a)

$2\sin\frac{C}{2}\cos\frac{C}{2}$

b)

2sinC.cosC

c)

-2sinC.cosC

d)

$-2\sin\frac{C}{2}\cos\frac{C}{2}$

43.

sina.cosb = ?

a)

$\frac{1}{2}\left[\sin\left(a+b\right)+\sin\left(a-b\right)\right]$

b)

$\frac{1}{2}\left[\sin\left(a+b\right)-\sin\left(a-b\right)\right]$

c)

$\frac{1}{2}\left[\cos\left(a+b\right)+\cos\left(a-b\right)\right]$

d)

$\frac{1}{2}\left[\cos\left(a+b\right)-\cos\left(a-b\right)\right]$

44.

cosa.sinb = ?

a)

$\frac{1}{2}\left[\sin\left(a+b\right)+\sin\left(a-b\right)\right]$

b)

$\frac{1}{2}\left[\sin\left(a+b\right)-\sin\left(a-b\right)\right]$

c)

$\frac{1}{2}\left[\cos\left(a+b\right)+\cos\left(a-b\right)\right]$

d)

$\frac{1}{2}\left[\cos\left(a+b\right)-\cos\left(a-b\right)\right]$

45.

cosa.cosb = ?

a)

$\frac{1}{2}\left[\sin\left(a+b\right)+\sin\left(a-b\right)\right]$

b)

$\frac{1}{2}\left[\sin\left(a+b\right)-\sin\left(a-b\right)\right]$

c)

$\frac{1}{2}\left[\cos\left(a+b\right)+\cos\left(a-b\right)\right]$

d)

$\frac{1}{2}\left[\cos\left(a+b\right)-\cos\left(a-b\right)\right]$

46.

sina.sinb = ?

a)

$\frac{1}{2}\left[\sin\left(a+b\right)+\sin\left(a-b\right)\right]$

b)

$\frac{1}{2}\left[\sin\left(a+b\right)-\sin\left(a-b\right)\right]$

c)

$\frac{1}{2}\left[\cos\left(a+b\right)+\cos\left(a-b\right)\right]$

d)

$-\frac{1}{2}\left[\cos\left(a+b\right)-\cos\left(a-b\right)\right]$

47.

sina + sinb = ?

a)

$2\sin\frac{a+b}{2}\cos\frac{a-b}{2}$

b)

$2\cos\frac{a+b}{2}\sin\frac{a-b}{2}$

c)

$2\cos\frac{a+b}{2}\cos\frac{a-b}{2}$

d)

$-2\sin\frac{a+b}{2}\sin\frac{a-b}{2}$

48.

sina - sinb = ?

a)

$2\sin\frac{a+b}{2}\cos\frac{a-b}{2}$

b)

$2\cos\frac{a+b}{2}\sin\frac{a-b}{2}$

c)

$2\cos\frac{a+b}{2}\cos\frac{a-b}{2}$

d)

$-2\sin\frac{a+b}{2}\sin\frac{a-b}{2}$

49.

cosa + cosb = ?

a)

$2\sin\frac{a+b}{2}\cos\frac{a-b}{2}$

b)

$2\cos\frac{a+b}{2}\sin\frac{a-b}{2}$

c)

$2\cos\frac{a+b}{2}\cos\frac{a-b}{2}$

d)

$-2\sin\frac{a+b}{2}\sin\frac{a-b}{2}$

50.

cosa - cosb = ?

a)

$2\sin\frac{a+b}{2}\cos\frac{a-b}{2}$

b)

$2\cos\frac{a+b}{2}\sin\frac{a-b}{2}$

c)

$2\cos\frac{a+b}{2}\cos\frac{a-b}{2}$

d)

$-2\sin\frac{a+b}{2}\sin\frac{a-b}{2}$

Tất tần tật về lượng giác

Total questions: 50

Worksheet time: 25mins

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