EduSahara™ Assignment
Name : Trigonometry Word Problems
Chapter : Introduction to Trigonometry
Grade : CBSE Grade X
License : Non Commercial Use
Question
1
1.
In
△KLM
, right angled at
L
,
if
tan
K
=
5
9
,
find
sin
K
cos
M
+
cos
K
sin
M
(i)
1
9
√
106
(ii)
1
5
√
106
(iii)
9
106
√
106
(iv)
1
(v)
5
106
√
106
Question
2
2.
In
△DEF
, right angled at
E
,
if
tan
D
=
1
3
,
find
cos
D
cos
F
−
sin
D
sin
F
(i)
1
3
√
10
(ii)
√
10
(iii)
3
10
√
10
(iv)
1
10
√
10
(v)
0
Question
3
3.
Find the length of the side of a 11-sided regular polygon inscribed in a circle of radius 1 m
(i)
0.6512 m
(ii)
0.5512 m
(iii)
0.6012 m
(iv)
0.4512 m
Question
4
4.
Find the length of the chord of the unit circle subtending an angle of 114° at the centre
(i)
1.7274
(ii)
1.5774
(iii)
1.6774
(iv)
1.7774
Question
5
5.
Find the area of the right angled triangle with hypotenuse 3 cm and one of the acute angle being 55°
(i)
2.1145 cm
(ii)
4.1145 cm
(iii)
1.1145 cm
(iv)
3.1145 cm
Question
6
6.
Find the area of an isosceles triangle with base 4 cm and vertical angle 57°
(i)
7.3665 cm
(ii)
6.3665 cm
(iii)
8.3665 cm
(iv)
9.3665 cm
Question
7
7.
If
R
,
S
and
T
are the interior angles of a triangle, then
sin
(
R + S
2
)
=
(i)
sin
T
(ii)
cos
(
T
2
)
(iii)
sin
(
T
2
)
(iv)
sin
(
R
2
)
(v)
cos
(
R
2
)
Question
8
8.
Find the length of the side of a 13-sided regular polygon inscribed in a circle of radius 1 m
(i)
0.5168 m
(ii)
0.5668 m
(iii)
0.4668 m
(iv)
0.3668 m
Question
9
9.
Find the length of the chord of the unit circle subtending an angle of 107° at the centre
(i)
1.7078
(ii)
1.5078
(iii)
1.6578
(iv)
1.6078
Question
10
10.
Find the area of the right angled triangle with hypotenuse 6 cm and one of the acute angle being 63°
(i)
8.2813 cm
(ii)
9.2813 cm
(iii)
7.2813 cm
(iv)
6.2813 cm
Question
11
11.
Find the area of an isosceles triangle with base 8 cm and vertical angle 51°
(i)
34.5430 cm
(ii)
33.5430 cm
(iii)
35.5430 cm
(iv)
32.5430 cm
Assignment Key
1) (iv)
2) (v)
3) (ii)
4) (iii)
5) (i)
6) (i)
7) (ii)
8) (iii)
9) (iv)
10) (iii)
11) (ii)
