EduSahara™ Assignment
Name : Trigonometry Word Problems
Chapter : Introduction to Trigonometry
Grade : CBSE Grade X
License : Non Commercial Use
Question
1
1.
In
△MNO
, right angled at
N
,
if
tan
M
=
4
5
,
find
sin
M
cos
O
+
cos
M
sin
O
(i)
5
41
√
41
(ii)
4
41
√
41
(iii)
1
4
√
41
(iv)
1
(v)
1
5
√
41
Question
2
2.
In
△EFG
, right angled at
F
,
if
tan
E
=
4
7
,
find
cos
E
cos
G
−
sin
E
sin
G
(i)
4
65
√
65
(ii)
7
65
√
65
(iii)
0
(iv)
1
4
√
65
(v)
1
7
√
65
Question
3
3.
Find the length of the side of a 15-sided regular polygon inscribed in a circle of radius 1 m
(i)
0.5158 m
(ii)
0.4658 m
(iii)
0.3158 m
(iv)
0.4158 m
Question
4
4.
Find the length of the chord of the unit circle subtending an angle of 109° at the centre
(i)
1.5282
(ii)
1.7282
(iii)
1.6282
(iv)
1.6782
Question
5
5.
Find the area of the right angled triangle with hypotenuse 5 cm and one of the acute angle being 33°
(i)
7.7095 cm
(ii)
6.7095 cm
(iii)
4.7095 cm
(iv)
5.7095 cm
Question
6
6.
Find the area of an isosceles triangle with base 6 cm and vertical angle 66°
(i)
12.8589 cm
(ii)
14.8589 cm
(iii)
15.8589 cm
(iv)
13.8589 cm
Question
7
7.
If
U
,
V
and
W
are the interior angles of a triangle, then
sin
(
U + V
2
)
=
(i)
cos
(
U
2
)
(ii)
sin
(
U
2
)
(iii)
cos
(
W
2
)
(iv)
sin
W
(v)
sin
(
W
2
)
Question
8
8.
Find the length of the side of a 14-sided regular polygon inscribed in a circle of radius 1 m
(i)
0.4828 m
(ii)
0.3328 m
(iii)
0.4328 m
(iv)
0.5328 m
Question
9
9.
Find the length of the chord of the unit circle subtending an angle of 134° at the centre
(i)
1.7410
(ii)
1.8910
(iii)
1.8410
(iv)
1.9410
Question
10
10.
Find the area of the right angled triangle with hypotenuse 6 cm and one of the acute angle being 49°
(i)
8.9129 cm
(ii)
7.9129 cm
(iii)
10.9129 cm
(iv)
9.9129 cm
Question
11
11.
Find the area of an isosceles triangle with base 8 cm and vertical angle 48°
(i)
36.9389 cm
(ii)
35.9389 cm
(iii)
37.9389 cm
(iv)
34.9389 cm
Assignment Key
1) (iv)
2) (iii)
3) (iv)
4) (iii)
5) (iv)
6) (iv)
7) (iii)
8) (iii)
9) (iii)
10) (i)
11) (ii)
