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CBSE Class 10 Mathematics Worksheet

UNIT V: Trigonometry - Some Applications of Trigonometry

1.

A)

2

B)

0

C)

3

D)

4

2.

A)

1

B)

9

C)

8

D)

0

3.

If sinA=4/5   then cotA+cosecA=?

A)

2

B)

3

C)

5

D)

4

4.

2(sin6A+cos6A)-3(sin4A+cos4A) is equal to

A)

1

B)

0

C)

-1

D)

2

5.

sin2A=2sinA is true when A=

A)

0degree

B)

30degree

C)

45degree

D)

60degree

6.

As observed from the top of a light house 100m above sea level, the angle of depression of a ship, sailing directly towards it, change from 30degree to 45degree. Determine the distance travelled by the ship during the period of observation

A)

73.2

B)

37.2

C)

27.3

D)

77.2

7.

A)

0

B)

1

C)

D)

8.

sin2B = 2sinB is true when B is equal to

A)

90°

B)

60°

C)

30°

D)

9.

 If y sin 45° cos 45° = tan2 45° – cos2 30°, then y =

A)

-1/2

B)

1/2

C)

-2

D)

2

10.

tan2A=?

A)

2tanA/1+tan^2A

B)

2tanA/1-tan^2A

C)

2tanA/1+tan2A

D)

2tanA/1-tan2A

11.

TAN 450

A)

1/(Square root of 2)

B)

0

C)

1/2

D)

1/4

12.

 If sec A + tan A = x, then sec A =

A)

(x2-1)/x

B)

(x2-1)/2x

C)

(x2+1)/x

D)

(x2+1)/2x

13.

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

A)

1/2

B)

1/√2

C)

√3

D)

1

14.

What is the minimum value of sin A, 0 ≤ A ≤ 90°

A)

1

B)

0

C)

-1

D)

1/2

15.

Two pillars of equal height and either side , which is 100m wide . The angles of elevation of the top of the pillars are 60 degree and 30degree at a point on the road between the pillars. find the position of the point between the pillars

A)

25mts, 75mts

B)

50mts, 75mts

C)

75mts, 75mts

D)

50mts, 50mts

16.

If secθ = x + 1/4x , find sinθ+cosθ ?

A)

6/5

B)

5/7

C)

7/5

D)

4/5

17.

 Given that sin θ = a/b, then tan θ =

A)

b/√(b2-a2)

B)

√(b2-a2)/b

C)

a/√(b2-a2)

D)

√(b2-a2)/a

18.

A tower subtends an angle of 30degree at a point on the same level as its foot. At a second point h mts above the first, the depression of the foot of the tower is 60degree. The height of the tower is

A)

h/2

B)

h/3

C)

3h

D)

√h

19.

In a triangle B=90º, C =θ. What is the value of tanθ.sinθ?

A)

cos²θ/sin²θ

B)

sin²θ/cos²θ

C)

secθ-cosθ

D)

cosθ-secθ

20.

 If sin A – cos A = 0, then the value of sin4 A + cos4 A is

A)

1

B)

2

C)

3/4

D)

1/2

CBSE Class 10 Mathematics Worksheet

UNIT V: Trigonometry - Some Applications of Trigonometry

Answers

1.
Option A
2.
Option B
3.
Option A
4.
Option C
5.
Option A
6.
Option A
7.
Option B
8.
Option D
9.
Option B
10.
Option B
11.
Option A
12.
Option D
13.
Option D
14.
Option B
15.
Option A
16.
Option C

Solution:

solve at x = 1, secθ = 5/4

so, sinθ + cosθ= (3/5) + (4/5) = 7/5

17.
Option C
18.
Option B
19.
Option C
20.
Option D

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