Free Printable trignometry3

1.

The angle of elevation of the top of a vertical tower from a point on the ground is 60°. From another point 10 m vertically above the first, its angle of elevation is 30°. The height of the tower is

a)

25 m

b)

20 m

c)

10 m

d)

15 m

2.

The length of the shadow of a 40 m tall pole on the ground when the sun's elevation is 45? is

a)

40 m

b)

40√3 m

c)

20 m

d)

20√3 m

3.

(sec A + tan A) (1 – sin A) =

a)

sec A

b)

sin A

c)

cosec A

d)

cos A

4.

If the length of the shadow of a tower is equal to its height, then the angle of elevation of the sun is

a)

30°

b)

45°

c)

60°

d)

55°

5.

The value of sin² 30° – cos² 30° is

a)

$\frac{-1}{2}$

b)

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

c)

$\frac{3}{2}$

d)

$\frac{-2}{3}$

6.

Value of tan30°/cot60° is:

a)

1/√2

b)

1/√3

c)

√3

d)

1

7.

(sin30° + cos30°) – (sin 60° + cos60°)

a)

-1

b)

0

c)

1

d)

2

8.

tan a+2tan 2a+4 tan 4a+8tan 8a=

a)

tan a

b)

tan 2a

c)

cot a

d)

cot 2a

9.

if A+B+C=180, then the value of (cot B+cot C)(cotC+cot A) (cotA+cot B) will be

a)

sec A sec B sec C

b)

cosec A cosec B cosec C

c)

tan A tan B tan C

d)

1

10.

Maximum value of $f\left(x\right)=\sin\ x+\cos\ x\ is$

a)

1

b)

2

c)

$\frac{1}{\sqrt{2}}$

d)

$\sqrt{2}$

11.

CosecA-2cot2A Cos A

a)

2Sin A

b)

sec A

c)

2 cos A cot A

d)

None of these

12.

tan 15° - cot 75° =____________

a)

0

b)

1

c)

2

d)

∞

13.

sin θ = 4/7 ಆದರೆ cosec θ = -----------

a)

7/3

b)

4/3

c)

3/7

d)

7/4

14.

cosec θ = 5/3 ಆದರೆ sec θ ಬೆಲೆ

a)

3/5

b)

4/5

c)

5/4

d)

5/3

15.

cos θ =1/2 ಆದರೆ θ ಬೆಲೆ

a)

60°

b)

30°

c)

90°

d)

45°

16.

tan 45° + cot 45° =______

a)

1

b)

2

c)

3

d)

0

17.

a cot θ + b cosec θ = p and b cot θ + a cosec θ = q then p² – q² is equal to

a)

a² – b²

b)

b² – a²

c)

a² + b²

d)

b-a

18.

(1 + tan θ + sec θ) (1 + cot θ – cosec θ) is equal to ……………

a)

0

b)

1

c)

2

d)

-1

19.

If sinθ = cosθ then $2\tan^2θ+\sin^2θ-1$ is equal to

a)

$\frac{-3}{2}$

b)

$\frac{3}{2}$

c)

$\frac{-2}{3}$

d)

$\frac{2}{3}$

20.

The value of sin² θ+ $\frac{1}{\tan^2\theta}$ is equal to

a)

tan² θ

b)

1

c)

cot² θ

d)

0

21.

tan θ cosec² θ – tan θ is equal to ………………

a)

sec θ

b)

cot² θ

c)

sin θ

d)

cot θ

trignometry3

Total questions: 21

Worksheet time: 42mins

Similar Resources on Wayground