Free Printable Introduction to Trigonometry

1.

$\frac{2\tan30°}{1+\tan²30°}\$ is equal to:

a)

a) sin60°

b)

b) cos60°

c)

c) tan60°

d)

d) sin30°

2.

$\ \frac{1-\tan²45°}{\ 1+\tan²45°}\$ is equal to:

a)

a) tan90°

b)

b) 1

c)

c) sin45°

d)

d) sin0°

3.

1. In the adjoining figure, AD =4 cm, BD = 3 cm and CB = 12 cm Find cotθ

a)

$\left(\ a\right)\ \frac{12}{5}$

b)

$b)\ \frac{5}{12}$

c)

$c)\ \frac{13}{12}$

d)

$d)\ \frac{12}{13}$

4.

$9\sec^2A−9\tan^2A\$ is equal to --------

a)

a) 1

b)

b) 9

c)

c) 8

d)

d) 0

5.

If $\tanθ=√3,\$ then sec θ =

a)

a) 2

b)

b) 7

c)

$c)\ √3$

d)

d) 0

6.

If $\sin A=\frac{1}{2},\$ then the value of cot A is

a)

$\left(a\right)\ \frac{√3}{2}$

b)

$b)\ \frac{1}{√3}\$

c)

$c)\ √3$

d)

$d)\ 1$

7.

Assertion: In a right angled triangle, if $\cos\theta\ =\frac{1}{2}$ and $\sin\theta=\frac{\sqrt{3}}{2}$ , then $\tan\theta=\sqrt{3}$

Reason: $\tanθ=\frac{\sinθ}{\cosθ}$

a)

a) Both assertion and reason are correct and reason is the correct explanation of the assertion

b)

b) The assertion and the reason are correct but the reason is not correct explanation of the assertion

c)

c) assertion is true but reason is false

d)

d) Both assertion and reason are false

8.

If $\cosθ+\sinθ=√2\cosθ,\$ then cos θ - sin θ is equal to

a)

a) -√2 cos θ

b)

b) -√2 sin θ

c)

c) √2 sin θ

d)

d) √2 tan θ

9.

If A, B and C are interior angles of a ΔABC then $\cos\ \left(\frac{B+C}{2}\right)$ is equal to

a)

$\left(a\right)\ \sin\ \frac{A}{2}\$

b)

$b)-\sin\ \frac{A}{2}\$

c)

$c)\cos\ \frac{A}{2}$

d)

$d)-\cos\ \frac{A}{2}$

10.

$(\sin30°+\cos30°)\ –\ (\sin60°+\cos60°)\$ is equal to

a)

a) – 1

b)

(b) 0

c)

(c) 1

d)

(d) 2

11.

Match the Columns:

a)

$(a)\ 1–A,\ 2–C,\ 3\ –B$

b)

$(b)\ 1–B,\ \ 2–C,\ 3–A\$

c)

$(c)1–B,2–C,3–D\$

d)

$(d)\ 1–D,\ 2–B,\ 3–A$

12.

If $\sin(A–B)=\ \frac{1}{2},\cos(A+B)=\ \frac{1}{2},\$ then A and B are:

a)

a) A = 45° and B = 15°

b)

b) A = 15° and B = 45°

c)

c) A = 45° and B = 45°

d)

d) A = 15° and B = 45°

13.

Read the following passage and answer the question that follows.

Ritu’s daughter is feeling hungry and so thought to eat something. She looked into the fridge and found some bread pieces. She decided to make a sandwich. She cut the piece of bread diagonally and found that it forms a right angled triangle with 4cm, 4√3cm and 8cm.

The value of ∠M =

a)

(a) 30°

b)

(b) 60°

c)

(c) 45°

d)

(d) None of these

14.

Read the following passage and answer the question that follows.
Ritu’s daughter is feeling hungry and so thought to eat something. She looked into the fridge and found some bread pieces. She decided to make a sandwich. She cut the piece of bread diagonally and found that it forms a right angled triangle with 4cm, 4√3cm and 8cm.

The value of ∠K =

a)

(a) 45°

b)

$(b)\ 30°\$

c)

$(c)\ 60°$

d)

(d) None of these

15.

Read the following passage and answer the question that follows.

Ritu’s daughter is feeling hungry and so thought to eat something. She looked into the fridge and found some bread pieces. She decided to make a sandwich. She cut the piece of bread diagonally and found that it forms a right angled triangle with 4cm, 4√3cm and 8cm.

Find the value of tan M

a)

$(a)\ √3$

b)

$(b)\ \frac{1}{√3}$

c)

(c) 1

d)

(d) None of these

16.

Read the following passage and answer the question that follows.

Ritu’s daughter is feeling hungry and so thought to eat something. She looked into the fridge and found some bread pieces. She decided to make a sandwich. She cut the piece of bread diagonally and found that it forms a right angled triangle with 4cm, 4√3cm and 8cm.

\sec^2M-1=

a)

$(a)\tan M$

b)

(b) tan2M

c)

$(c)\tan^2M$

d)

(d) None of these

17.

The value of $\frac{\tan^245°-1}{\tan^245°+1}\$ is

a)

(a) 0

b)

(b) 1

c)

(c) 2

d)

(d) -1

18.

Read the following passage and answer the question that follows.

Aanya and her father go to meet her friend Juhi for a party. When they reached to uhi's place, Aanya saw the roof of the house, which is triangular in shape. If she imagined the dimensions of the roof as given in the figure, then answer the following questions.

If D is the mid-point of AC, then BD =

a)

(a) 2

b)

(b) 3m

c)

(c) 4m

d)

(d) 6m

19.

Read the following passage and answer the question that follows.
Aanya and her father go to meet her friend Juhi for a party. When they reached to uhi's place, Aanya saw the roof of the house, which is triangular in shape. If she imagined the dimensions of the roof as given in the figure, then answer the following questions.

Find the value of sin A + cos C

a)

(a) 0

b)

(b) 1

c)

$(c)\ \frac{1}{2}$

d)

$(d)\ √2$

20.

Read the following passage and answer the question that follows.

Aanya and her father go to meet her friend Juhi for a party. When they reached to uhi's place, Aanya saw the roof of the house, which is triangular in shape. If she imagined the dimensions of the roof as given in the figure, then answer the following questions.

Find the value of

\tan^2C+\tan^2A

a)

(a) 0

b)

(b) 1

c)

(c) 2

d)

$(d)\ \frac{1}{2}$

Introduction to Trigonometry

Total questions: 20

Worksheet time: 40mins

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