EduSahara™ Assignment
Name : Trigonometry Word Problems
Chapter : Introduction to Trigonometry
Grade : CBSE Grade X
License : Non Commercial Use
Question
1
1.
In
△EFG
, right angled at
F
,
if
tan
E
=
3
4
,
find
sin
E
cos
G
+
cos
E
sin
G
(i)
5
4
(ii)
5
3
(iii)
1
(iv)
4
5
(v)
3
5
Question
2
2.
In
△EFG
, right angled at
F
,
if
tan
E
=
1
2
,
find
cos
E
cos
G
−
sin
E
sin
G
(i)
1
2
√
5
(ii)
0
(iii)
2
5
√
5
(iv)
√
5
(v)
1
5
√
5
Question
3
3.
Find the length of the side of a 5-sided regular polygon inscribed in a circle of radius 1 m
(i)
1.0756 m
(ii)
1.2256 m
(iii)
1.2756 m
(iv)
1.1756 m
Question
4
4.
Find the length of the chord of the unit circle subtending an angle of 148° at the centre
(i)
1.9726
(ii)
2.0226
(iii)
1.9226
(iv)
1.8226
Question
5
5.
Find the area of the right angled triangle with hypotenuse 5 cm and one of the acute angle being 39°
(i)
6.1129 cm
(ii)
8.1129 cm
(iii)
5.1129 cm
(iv)
7.1129 cm
Question
6
6.
Find the area of an isosceles triangle with base 6 cm and vertical angle 63°
(i)
13.6867 cm
(ii)
16.6867 cm
(iii)
15.6867 cm
(iv)
14.6867 cm
Question
7
7.
If
Q
,
R
and
S
are the interior angles of a triangle, then
sin
(
Q + R
2
)
=
(i)
cos
(
Q
2
)
(ii)
sin
S
(iii)
sin
(
S
2
)
(iv)
sin
(
Q
2
)
(v)
cos
(
S
2
)
Question
8
8.
Find the length of the side of a 5-sided regular polygon inscribed in a circle of radius 1 m
(i)
1.2256 m
(ii)
1.2756 m
(iii)
1.0756 m
(iv)
1.1756 m
Question
9
9.
Find the length of the chord of the unit circle subtending an angle of 142° at the centre
(i)
1.8910
(ii)
1.9910
(iii)
1.7910
(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 32°
(i)
7.0884 cm
(ii)
8.0884 cm
(iii)
10.0884 cm
(iv)
9.0884 cm
Question
11
11.
Find the area of an isosceles triangle with base 6 cm and vertical angle 56°
(i)
15.9268 cm
(ii)
17.9268 cm
(iii)
18.9268 cm
(iv)
16.9268 cm
Assignment Key
1) (iii)
2) (ii)
3) (iv)
4) (iii)
5) (i)
6) (iv)
7) (v)
8) (iv)
9) (i)
10) (ii)
11) (iv)
