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1.

cos(a-b) = ?

a)

cosa.cosb+sina.sinb

b)

cosa.cosb-sina.sinb

c)

sina.cosb-cosa.sinb

d)

sina.cosb+cosa.sinb

2.

cos(a + b)=?

a)

cosa.cosb-sina.sinb

b)

cosa.cosb+sina.sinb

c)

sina.cosb+sinb.cosa

d)

sina.cosb-sinb.cosa

3.

sin(a-b)=?

a)

sina.cosb - cosa.sinb

b)

cos(a - b)

c)

cos(a)cos(b) + sin(a)sin(b)

d)

sin(a) + sin(b)

4.

tan(a+b)=?

a)

tan(a) - tan(b)

b)

tan(a + b)

c)

$\frac{\left(\tan a+\tan b\right)}{1+\tan a.\tan b}$

d)

$\frac{\left(\tan a+\tan b\right)}{1-\tan a.\tan b}$

5.

tan(a-b)=?

a)

$\frac{\left(\tan a-\tan b\right)}{1-\tan a.\tan b}$

b)

tan(a - b)

c)

tan(a)tan(b)

d)

$\frac{\left(\tan a-\tan b\right)}{1+\tan a.\tan b}$

6.

sin2a=?

a)

sin(2a) = $\sin a+\cos a$

b)

sin(2a) = $\frac{\sin a}{\cos a}$

c)

sin(2a) = $2\sin^{2\ }a$

d)

sin(2a) = $2.\sin a.\cos a$

7.

cos2a=?

a)

sin²(a) + cos²(a)

b)

3cos²(a) - 2c

c)

1 - 2sin²a

d)

cos²a - sin²a

e)

2cos²a-1

8.

$\sin^2a=?$

a)

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

b)

$\frac{1}{\cos2a}$

c)

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

d)

$\frac{1}{\tan2a}$

9.

$\cos^2a$ =?

a)

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

b)

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

c)

$\frac{1+\cos a}{2}$

d)

$1+\cos2a$

10.

$\tan2a=?$

a)

$\frac{\tan a}{1-\tan^2a}$

b)

$\frac{2\tan a}{1+\tan^2a}$

c)

$\frac{2\tan a}{1-\tan^2a}$

d)

$\frac{\tan a}{1+\tan^2a}$

11.

$\cos a.\cos b=?$

a)

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

b)

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

c)

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

d)

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

12.

$\sin a.\sin b$ =?

a)

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

b)

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

c)

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

d)

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

e)

$\cos\left[\left(a-b\right)-\cos\left(a+b\right)\right]$

13.

$\sin a.\cos b=?$

a)

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

b)

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

c)

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

d)

$\sin\left[\left(a+b\right)+\sin\left(a-b\right)\right]$

14.

$\cos a+\cos b=?$

a)

$2\cos\left(\frac{a+b}{2}\right).\cos\left(\frac{a-b}{2}\right)$

b)

$2\sin\left(\frac{a+b}{2}\right).\cos\left(\frac{a-b}{2}\right)$

c)

$\sin\left(\frac{a+b}{2}\right).\sin\left(\frac{a-b}{2}\right)$

d)

$2\tan\left(\frac{a+b}{2}\right).\cos\left(\frac{a-b}{2}\right)$

15.

$\cos a-\cos b=?$

a)

$-2\sin\left(\frac{a+b}{2}\right).\sin\left(\frac{a-b}{2}\right)$

b)

$2\sin\left(\frac{a+b}{2}\right).\sin\left(\frac{a-b}{2}\right)$

c)

$-2\cos\left(\frac{a+b}{2}\right).\sin\left(\frac{a-b}{2}\right)$

d)

$-2\cot\left(\frac{a+b}{2}\right).\sin\left(\frac{a-b}{2}\right)$

16.

$\sin a+\sin b=?$

a)

$2\sin\left(\frac{a+b}{2}\right).\cos\left(\frac{a-b}{2}\right)$

b)

$-2\cos\left(\frac{a+b}{2}\right).\sin\left(\frac{a-b}{2}\right)$

c)

$2\sin\left(\frac{a+b}{2}\right).\sin\left(\frac{a-b}{2}\right)$

d)

$-2\sin\left(\frac{a+b}{2}\right).\cos\left(\frac{a-b}{2}\right)$

17.

$\sin a-\sin b=?$

a)

$2\cos\left(\frac{a+b}{2}\right).\sin\left(\frac{a-b}{2}\right)$

b)

$-2\sin\left(\frac{a+b}{2}\right).\sin\left(\frac{a-b}{2}\right)$

c)

$-2\cos\left(\frac{a+b}{2}\right).\sin\left(\frac{a-b}{2}\right)$

d)

$\cos\left(\frac{a+b}{2}\right).\sin\left(\frac{a-b}{2}\right)$

18.

$\sin x=-1\ \leftrightarrow\ x=?$

a)

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

b)

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

c)

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

d)

$-\frac{\pi}{2}+k4\pi$

19.

$\sin x=0\ \leftrightarrow\ x=?$

a)

$k\pi$

b)

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

c)

$\pi+k2\pi$

d)

$k\pi-\pi$

20.

$\sin x=1\ \leftrightarrow\ x=?$

a)

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

b)

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

c)

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

d)

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

21.

$\cos x=-1\ \leftrightarrow\ x=?$

a)

$\pi+k2\pi$

b)

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

c)

$2\pi+k2\pi$

d)

$\pi-k2\pi$

22.

$\cos x=0\ \leftrightarrow\ x=?$

a)

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

b)

$\pi+k\pi$

c)

$k2\pi$

d)

$k\pi$

23.

$\cos x=1\ \leftrightarrow\ x=?$

a)

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

b)

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

c)

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

d)

$x=k2\pi$

24.

$\tan x=-1\ \leftrightarrow\ x=?$

a)

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

b)

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

c)

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

d)

$k\pi$

25.

$\tan x=0\ \leftrightarrow\ x=?$

a)

$x=k\pi$

b)

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

c)

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

d)

$k2\pi$

26.

$\tan x=1\ \leftrightarrow\ x=?$

a)

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

b)

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

c)

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

d)

$k\pi$

27.

$\cot x=-1\ \leftrightarrow\ x=?$

a)

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

b)

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

c)

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

d)

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

28.

$\cot x=0\ \leftrightarrow\ x=?$

a)

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

b)

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

c)

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

d)

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

29.

$\cot\ x=1\ \leftrightarrow\ x=?$

a)

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

b)

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

c)

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

d)

$\pi+k\pi$

30.

$\cos\left(-a\right)=?$

a)

$\cos a$

b)

$-\cos a$

c)

$\sin a$

d)

$\tan a$

31.

$\sin\left(-a\right)=?$

a)

$-\sin a$

b)

$\sin a$

c)

$\cos a$

d)

$\tan a$

32.

$\tan\left(-a\right)=?$

a)

$\tan a$

b)

$-\tan a$

c)

$\cot a$

d)

$-\cot a$

33.

$\cot\left(-a\right)=?$

a)

$-\cot a$

b)

$\cot a$

c)

$\sin a$

d)

$-\tan a$

34.

Công thức tính trung vị của mẫu số liệu ghép nhóm?

a)

$M_e=a_p+\frac{\frac{n}{2}-\left(m_1+...+m_{p-1}\right)}{m_p}.\left(a_{p+1}-a_p\right)$

b)

$M_e=a_p+\frac{\frac{n}{4}-\left(m_1+...+m_{p-1}\right)}{m_p}.\left(a_{p+1}-a_p\right)$

c)

$M_e=a_p+\frac{\frac{3n}{4}-\left(m_1+...+m_{p-1}\right)}{m_p}.\left(a_{p+1}-a_p\right)$

d)

$M_e=a_p+\frac{n-\left(m_1+...+m_{p-1}\right)}{m_p}.\left(a_{p+1}-a_p\right)$

35.

Công thức để tính tứ phân vị thứ nhất Q1?

a)

$Q_1=a_p+\frac{\frac{n}{4}-\left(m_1+...+m_{p-1}\right)}{m_p}.\left(a_{p+1}-a_p\right)$

b)

$Q_1=a_p+\frac{\frac{n}{4}-\left(m_1+...+m_{p-1}\right)}{m_p}.\left(a_{p+1}-a_{p-1}\right)$

c)

$Q_1=a_p+\frac{\frac{n}{4}-\left(m_1+...+m_{p-1}\right)}{m_p}.\left(a_p-a_{p-1}\right)$

d)

$Q_1=a_p+\frac{\frac{3n}{4}-\left(m_1+...+m_{p-1}\right)}{m_p}.\left(a_{p+1}-a_p\right)$

36.

Công thức tính tứ phân vị thứ 3 Q3?

a)

$Q_1=a_p+\frac{\frac{3n}{4}-\left(m_1+...+m_{p-1}\right)}{m_p}.\left(a_{p+1}-a_p\right)$

b)

$Q_1=a_p+\frac{\frac{3n}{4}-\left(m_1+...+m_{p-1}\right)}{m_p}.\left(a_{p-1}+a_p\right)$

c)

$Q_1=a_p+\frac{\frac{3n}{4}-\left(m_1+...+m_{p-1}\right)}{m_p}.\left(a_p-a_{p-1}\right)$

d)

$Q_1=a_p+\frac{\frac{n}{4}-\left(m_1+...-m_{p-1}\right)}{m_p}.\left(a_{p+1}-a_p\right)$

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Total questions: 36

Worksheet time: 19mins

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