EduSahara™ Assignment
Name : Trigonometry Word Problems
Chapter : Trigonometrical Identities
Grade : ICSE Grade X
License : Non Commercial Use
Question
1
1.
In
△IJK
, right angled at
J
,
if
tan
I
=
3
4
,
find
sin
I
cos
K
+
cos
I
sin
K
(i)
3
5
(ii)
4
5
(iii)
5
3
(iv)
1
(v)
5
4
Question
2
2.
In
△GHI
, right angled at
H
,
if
tan
G
=
1
3
,
find
cos
G
cos
I
−
sin
G
sin
I
(i)
1
10
√
10
(ii)
√
10
(iii)
0
(iv)
1
3
√
10
(v)
3
10
√
10
Question
3
3.
Find the length of the side of a 6-sided regular polygon inscribed in a circle of radius 1 m
(i)
1.1000 m
(ii)
1.0000 m
(iii)
1.0500 m
(iv)
0.9000 m
Question
4
4.
Find the length of the chord of the unit circle subtending an angle of 144° at the centre
(i)
1.9522
(ii)
1.8022
(iii)
1.9022
(iv)
2.0022
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 35°
(i)
30.5442 cm
(ii)
27.5442 cm
(iii)
28.5442 cm
(iv)
29.5442 cm
Question
7
7.
If
V
,
W
and
X
are the interior angles of a triangle, then
sin
(
V + W
2
)
=
(i)
cos
(
V
2
)
(ii)
sin
(
X
2
)
(iii)
sin
X
(iv)
sin
(
V
2
)
(v)
cos
(
X
2
)
Assignment Key
1) (iv)
2) (iii)
3) (ii)
4) (iii)
5) (iv)
6) (iii)
7) (v)
