Free Printable Trigonometry

1.

The value of cos 0°. cos 1°. cos 2°. cos 3°… cos 89° cos 90° is

a)

1

b)

-1

c)

0

d)

1/√2

2.

If x tan 45° sin 30° = cos 30° tan 30°, then x is equal to

a)

√3

b)

1/2

c)

1/√2

d)

1

3.

If sin θ + sin² θ = 1, then cos² θ + cos4 θ = ..

a)

1

b)

-1

c)

0

d)

2

4.

a)

A

b)

B

c)

C

d)

D

5.

If cos 9A = sin A and 9A < 90°, then the value of tan 5A is

a)

0

b)

1

c)

1/√3

d)

√3

6.

The value of sin² 30° – cos² 30° is

a)

A

b)

B

c)

C

d)

D

7.

If ∆ABC is right angled at C, then the value of cos (A + B) is

a)

A

b)

B

c)

C

d)

D

8.

tan A =?

a)

A

b)

B

c)

C

d)

D

9.

In given figure, the value of angle C is

a)

90°

b)

45°

c)

30°

d)

60°

10.

The angle of elevation of top of a tower from a point on the ground, which is 30 m away from the foot of the tower is 30°. The length of the tower is

a)

√3 m

b)

2√3 m

c)

5√3m

d)

10√3 m

11.

A plane is observed to be approaching the airport. It is at a distance of 12 km from the point of observation and makes an angle of elevation of 60°. The height above the ground of the plane is

a)

6√3 km

b)

4√3 km

c)

3√3 km

d)

2√3 km

12.

In a right triangle ABC, the right angle is at B. Which of the following is true about the other two angles A and C?

a)

There is no restriction on the measure of the angles

b)

Both the angles should be obtuse

c)

Both the angles should be acute

d)

One of the angles is acute and the other is obtuse

13.

value of sin 0⁰ and cos 90⁰ are.....

a)

Same

b)

Different

c)

No relation

d)

Information Insufficient

14.

If cos A = 4/5, then tan A = ?

a)

3/5

b)

3/4

c)

4/3

d)

4/5

15.

9 sec²A - 9 tan²A = ?

a)

1

b)

9

c)

8

d)

0

16.

If 8 tanx= 15, then sinx-cosx = ?

a)

8/17

b)

17/7

c)

1/7

d)

7/17

17.

What is the ratio for Cosecant?

a)

Hyp/Opp

b)

Opp/Hyp

c)

Opp/Adj

d)

Adj/Opp

18.

What is the ratio for Tangent

a)

Opp/Adj

b)

Adj/Opp

c)

Opp/Hyp

d)

Hyp/Opp

19.

What is the ratio for Cotangent?

a)

Opp/Hyp

b)

Opp/Adj

c)

Adj/Opp

d)

Adj/Hyp

20.

What is the correct ratio?

a)

6/10

b)

6/8

c)

8/10

d)

8/6

21.

We can use SOH-CAH-TOA for...

a)

Any triangle ever

b)

Non-right triangles only

c)

Right Triangles only

d)

Never

22.

Find side AB?

a)

20 m

b)

5 m

c)

10√3 m

d)

5√3 m

23.

Find the ratio for cosA. (Reduce the fraction)

a)

36/27

b)

4/5

c)

27/45

d)

3/5

24.

If tanθ = 3/4, what is cosθ?

a)

3/5

b)

4/5

c)

4/3

d)

not enough information

25.

Write sin 62^o in terms of cos.

a)

cos 28^o

b)

cos 62^o

c)

cos 118^o

d)

cos 38^o

26.

In right triangle ABC, ∠A and ∠B are complementary angles. The value of cos A = 5/13. What is the value of sin B?

a)

5/13

b)

12/13

c)

13/12

d)

13/5

27.

A 12 meter ladder lean on the wall of a house and the angle between the ladder and the ground is 60⁰ . The height of the wall is ... m

a)

$6\sqrt{2}$

b)

$6\sqrt{3}$

c)

$6\sqrt{6}$

d)

$12\sqrt{3}$

e)

$12\sqrt{6}$

28.

$\left(\sin\ A\ +\ \cos\ A\right)^2+\left(\sin\ A-\cos\ A\right)^2=...$

a)

1

b)

2

c)

3

d)

3 cos A

e)

4 sin A

29.

In a triangle ABC, angle A and B is 30⁰ and 45⁰ respectively. If a = 6 cm then b = ... cm

a)

$\sqrt{2}$

b)

$3\sqrt{2}$

c)

$6\sqrt{2}$

d)

$8\sqrt{2}$

e)

$12\sqrt{2}$

30.

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

a)

$\sin\ \frac{A}{2}$

b)

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

c)

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

d)

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

Trigonometry

Total questions: 30

Worksheet time: 4hrs 17mins

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