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
=
1
3
,
find
sin
K
cos
M
+
cos
K
sin
M
(i)
3
10
√
10
(ii)
1
3
√
10
(iii)
1
10
√
10
(iv)
1
(v)
√
10
Question
2
2.
In
△HIJ
, right angled at
I
,
if
tan
H
=
5
8
,
find
cos
H
cos
J
−
sin
H
sin
J
(i)
1
8
√
89
(ii)
0
(iii)
8
89
√
89
(iv)
1
5
√
89
(v)
5
89
√
89
Question
3
3.
Find the length of the side of a 12-sided regular polygon inscribed in a circle of radius 1 m
(i)
0.5176 m
(ii)
0.6176 m
(iii)
0.5676 m
(iv)
0.4176 m
Question
4
4.
Find the length of the chord of the unit circle subtending an angle of 117° at the centre
(i)
1.6052
(ii)
1.7552
(iii)
1.7052
(iv)
1.8052
Question
5
5.
Find the area of the right angled triangle with hypotenuse 3 cm and one of the acute angle being 52°
(i)
2.1694 cm
(ii)
3.1694 cm
(iii)
4.1694 cm
(iv)
1.1694 cm
Question
6
6.
Find the area of an isosceles triangle with base 4 cm and vertical angle 69°
(i)
6.8199 cm
(ii)
4.8199 cm
(iii)
7.8199 cm
(iv)
5.8199 cm
Question
7
7.
If
S
,
T
and
U
are the interior angles of a triangle, then
sin
(
S + T
2
)
=
(i)
sin
(
S
2
)
(ii)
sin
U
(iii)
sin
(
U
2
)
(iv)
cos
(
S
2
)
(v)
cos
(
U
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)
0.3668 m
(ii)
0.5668 m
(iii)
0.5168 m
(iv)
0.4668 m
Question
9
9.
Find the length of the chord of the unit circle subtending an angle of 127° at the centre
(i)
1.6898
(ii)
1.8898
(iii)
1.8398
(iv)
1.7898
Question
10
10.
Find the area of the right angled triangle with hypotenuse 3 cm and one of the acute angle being 42°
(i)
1.2374 cm
(ii)
2.2374 cm
(iii)
4.2374 cm
(iv)
3.2374 cm
Question
11
11.
Find the area of an isosceles triangle with base 6 cm and vertical angle 64°
(i)
14.4023 cm
(ii)
13.4023 cm
(iii)
16.4023 cm
(iv)
15.4023 cm
Assignment Key
1) (iv)
2) (ii)
3) (i)
4) (iii)
5) (i)
6) (iv)
7) (v)
8) (iv)
9) (iv)
10) (ii)
11) (i)
