EduSahara™ Assignment
Name : Trigonometry Word Problems
Chapter : Trigonometrical Identities
Grade : ICSE Grade X
License : Non Commercial Use
Question
1
1.
In
△EFG
, right angled at
F
,
if
tan
E
=
4
5
,
find
sin
E
cos
G
+
cos
E
sin
G
(i)
5
41
√
41
(ii)
1
(iii)
1
4
√
41
(iv)
1
5
√
41
(v)
4
41
√
41
Question
2
2.
In
△DEF
, right angled at
E
,
if
tan
D
=
1
3
,
find
cos
D
cos
F
−
sin
D
sin
F
(i)
3
10
√
10
(ii)
1
10
√
10
(iii)
√
10
(iv)
0
(v)
1
3
√
10
Question
3
3.
Find the length of the side of a 15-sided regular polygon inscribed in a circle of radius 1 m
(i)
0.4158 m
(ii)
0.4658 m
(iii)
0.3158 m
(iv)
0.5158 m
Question
4
4.
Find the length of the chord of the unit circle subtending an angle of 131° at the centre
(i)
1.8700
(ii)
1.8200
(iii)
1.9200
(iv)
1.7200
Question
5
5.
Find the area of the right angled triangle with hypotenuse 3 cm and one of the acute angle being 42°
(i)
4.2374 cm
(ii)
1.2374 cm
(iii)
2.2374 cm
(iv)
3.2374 cm
Question
6
6.
Find the area of an isosceles triangle with base 6 cm and vertical angle 69°
(i)
13.0947 cm
(ii)
14.0947 cm
(iii)
12.0947 cm
(iv)
15.0947 cm
Question
7
7.
If
V
,
W
and
X
are the interior angles of a triangle, then
sin
(
V + W
2
)
=
(i)
sin
(
V
2
)
(ii)
cos
(
X
2
)
(iii)
sin
(
X
2
)
(iv)
cos
(
V
2
)
(v)
sin
X
Assignment Key
1) (ii)
2) (iv)
3) (i)
4) (ii)
5) (iii)
6) (i)
7) (ii)
