Math 9th Chap 6 : Test Yourself - Maryam Publications

Math Chapter 6 : Test Yourself

1 / 30

If $x=$ $\frac{1}{4} $, what is the value of $cos x$?

A) $\frac{3}{4}$

B) $\frac{\sqrt{17}}{4}$

C) $\frac{15}{4}$

D) $\frac{\sqrt{15}}{4}$

2 / 30

$cos$ $\frac{2\pi}{3}= $?

A) $\frac{1}{2}$

B) $-$ $\frac{\sqrt{3}}{2}$

C) $\frac{\sqrt{3}}{2}$

D) $-$ $\frac{1}{2}$

3 / 30

$\frac{1}{1 - sin \theta}+\frac{1}{1 + sin \theta}=$ ?

A) $2 {sec}^{2} \theta$

B) ${cosec}^{2} \theta$

C) ${sec}^{2} \theta$

D) $2 {cosec}^{2}\theta $

4 / 30

$- 3-3 {tan}^{2} \theta=$ ?

A) $- 3 {cosec}^{2} \theta$

B) $- 3 {sec}^{2} \theta$

C) $3 {sec}^{2} \theta$

D) $3 {cosec}^{2} \theta$

5 / 30

If $cos x=sin x$, then the value of $x $is:

A) ${45}^{o}$

B) ${90}^{o}$

C) ${60}^{o}$

D) ${30}^{o}$

6 / 30

$4 {cosec}^{2} \theta-4 {cot}^{2} \theta-4 cos {0}^{o}=$ ?

A) $4$

B) $1$

C) $- 1$

D) $0$

7 / 30

If $x=$ $\frac{a}{b} $, then $sin x=$ ?

A) $\frac{b}{\sqrt{{a}^{2} - {b}^{2}}}$

B) $\frac{a}{\sqrt{{a}^{2} - {b}^{2}}}$

C) $\frac{b}{\sqrt{{a}^{2} + {b}^{2}}}$

D) $\frac{a}{\sqrt{{a}^{2} + {b}^{2}}}$

8 / 30

${50}^{o }{30}^{'}=$ ?

A) ${50.5}^{o}$

B) ${50.3}^{o}$

C) ${50.4}^{o}$

D) ${50.2}^{o}$

9 / 30

$(1-{cos}^{2} \theta) {sec}^{2} \theta=$ ?

A) ${cot}^{2} \theta$

B) ${sec}^{2} \theta$

C) ${cosec}^{2} \theta$

D) ${tan}^{2} \theta$

10 / 30

In which quadrant do the angles between ${90}^{o}$ and ${180}^{o}$ lie?

A) 4th

B) 3rd

C) 2nd

D) 1st

11 / 30

The system in which the angles are measured in radians is called:

A) centesimal

B) CGS

C) sexagesimal

D) circular

12 / 30

${270}^{o}=$ ?

A) $-$ $\frac{\pi}{2}$

B) $-$ $\frac{3\pi}{2}$

C) $\frac{3\pi}{2}$

D) $\frac{\pi}{2}$

13 / 30

What is the bearing of south-west direction line?

A) ${270}^{o}$

B) ${45}^{o}$

C) $225$

D) ${135}^{o}$

14 / 30

If an automobile travels at the bearing of is$ {070}^{o}$ from city $A$ to city $B$, then the bearing from city $B$ to city $A$ is:

A) ${070}^{o}$

B) ${110}^{o}$

C) ${290}^{o}$

D) ${250}^{o}$

15 / 30

A boat sails $4 km$ north from point $L$ to $M$, then it sails $3 km$ west from $M$ to $P$. What is the bearing of $P$ from $L$? Provide your answer to the nearest degree.

A) ${323}^{o}$

B) ${217}^{o}$

C) ${053}^{o}$

D) ${037}^{o}$

16 / 30

If $x=$ $\frac{1}{4} $, what is the value of $cos x$?

A) $\frac{\sqrt{17}}{4}$

B) $\frac{\sqrt{15}}{4}$

C) $\frac{3}{4}$

D) $\frac{15}{4}$

17 / 30

$cos$ $\frac{2\pi}{3}= $?

A) $-$ $\frac{\sqrt{3}}{2}$

B) $\frac{1}{2}$

C) $\frac{\sqrt{3}}{2}$

D) $-$ $\frac{1}{2}$

18 / 30

$\frac{1}{1 - sin \theta}+\frac{1}{1 + sin \theta}=$ ?

A) ${cosec}^{2} \theta$

B) $2 {sec}^{2} \theta$

C) ${sec}^{2} \theta$

D) $2 {cosec}^{2}\theta $

19 / 30

$- 3-3 {tan}^{2} \theta=$ ?

A) $3 {cosec}^{2} \theta$

B) $3 {sec}^{2} \theta$

C) $- 3 {cosec}^{2} \theta$

D) $- 3 {sec}^{2} \theta$

20 / 30

If $cos x=sin x$, then the value of $x $is:

A) ${90}^{o}$

B) ${30}^{o}$

C) ${60}^{o}$

D) ${45}^{o}$

21 / 30

$4 {cosec}^{2} \theta-4 {cot}^{2} \theta-4 cos {0}^{o}=$ ?

A) $- 1$

B) $4$

C) $1$

D) $0$

22 / 30

If $x=$ $\frac{a}{b} $, then $sin x=$ ?

A) $\frac{a}{\sqrt{{a}^{2} + {b}^{2}}}$

B) $\frac{a}{\sqrt{{a}^{2} - {b}^{2}}}$

C) $\frac{b}{\sqrt{{a}^{2} - {b}^{2}}}$

D) $\frac{b}{\sqrt{{a}^{2} + {b}^{2}}}$

23 / 30

${50}^{o }{30}^{'}=$ ?

A) ${50.5}^{o}$

B) ${50.2}^{o}$

C) ${50.3}^{o}$

D) ${50.4}^{o}$

24 / 30

$(1-{cos}^{2} \theta) {sec}^{2} \theta=$ ?

A) ${cot}^{2} \theta$

B) ${tan}^{2} \theta$

C) ${sec}^{2} \theta$

D) ${cosec}^{2} \theta$

25 / 30

In which quadrant do the angles between ${90}^{o}$ and ${180}^{o}$ lie?

A) 2nd

B) 3rd

C) 4th

D) 1st

26 / 30

The system in which the angles are measured in radians is called:

A) centesimal

B) CGS

C) circular

D) sexagesimal

27 / 30

${270}^{o}=$ ?

A) $\frac{\pi}{2}$

B) $\frac{3\pi}{2}$

C) $-$ $\frac{\pi}{2}$

D) $-$ $\frac{3\pi}{2}$

28 / 30

What is the bearing of south-west direction line?

A) ${45}^{o}$

B) ${270}^{o}$

C) $225$

D) ${135}^{o}$

29 / 30

If an automobile travels at the bearing of is$ {070}^{o}$ from city $A$ to city $B$, then the bearing from city $B$ to city $A$ is:

A) ${250}^{o}$

B) ${110}^{o}$

C) ${070}^{o}$

D) ${290}^{o}$

30 / 30

A boat sails $4 km$ north from point $L$ to $M$, then it sails $3 km$ west from $M$ to $P$. What is the bearing of $P$ from $L$? Provide your answer to the nearest degree.

A) ${323}^{o}$

B) ${217}^{o}$

C) ${037}^{o}$

D) ${053}^{o}$

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