EduSahara™ Assignment
Name : Trigonometry Word Problems
Chapter : Introduction to Trigonometry
Grade : CBSE Grade X
License : Non Commercial Use
Question
1
1.
In
△LMN
, right angled at
M
,
if
tan
L
=
2
7
,
find
sin
L
cos
N
+
cos
L
sin
N
(i)
7
53
√
53
(ii)
2
53
√
53
(iii)
1
7
√
53
(iv)
1
(v)
1
2
√
53
Question
2
2.
In
△NOP
, right angled at
O
,
if
tan
N
=
3
5
,
find
cos
N
cos
P
−
sin
N
sin
P
(i)
0
(ii)
1
5
√
34
(iii)
5
34
√
34
(iv)
3
34
√
34
(v)
1
3
√
34
Question
3
3.
Find the length of the side of a 15-sided regular polygon inscribed in a circle of radius 1 m
(i)
0.5158 m
(ii)
0.3158 m
(iii)
0.4158 m
(iv)
0.4658 m
Question
4
4.
Find the length of the chord of the unit circle subtending an angle of 124° at the centre
(i)
1.7658
(ii)
1.8658
(iii)
1.6658
(iv)
1.8158
Question
5
5.
Find the area of the right angled triangle with hypotenuse 3 cm and one of the acute angle being 49°
(i)
4.2282 cm
(ii)
1.2282 cm
(iii)
2.2282 cm
(iv)
3.2282 cm
Question
6
6.
Find the area of an isosceles triangle with base 8 cm and vertical angle 54°
(i)
33.4033 cm
(ii)
31.4033 cm
(iii)
30.4033 cm
(iv)
32.4033 cm
Question
7
7.
If
P
,
Q
and
R
are the interior angles of a triangle, then
sin
(
P + Q
2
)
=
(i)
sin
R
(ii)
sin
(
P
2
)
(iii)
cos
(
R
2
)
(iv)
cos
(
P
2
)
(v)
sin
(
R
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)
1.0756 m
(ii)
1.1756 m
(iii)
1.2756 m
(iv)
1.2256 m
Question
9
9.
Find the length of the chord of the unit circle subtending an angle of 160° at the centre
(i)
1.8696
(ii)
1.9696
(iii)
2.0696
(iv)
2.0196
Question
10
10.
Find the area of the right angled triangle with hypotenuse 5 cm and one of the acute angle being 49°
(i)
5.1895 cm
(ii)
6.1895 cm
(iii)
7.1895 cm
(iv)
8.1895 cm
Question
11
11.
Find the area of an isosceles triangle with base 6 cm and vertical angle 54°
(i)
16.6644 cm
(ii)
18.6644 cm
(iii)
17.6644 cm
(iv)
19.6644 cm
Assignment Key
1) (iv)
2) (i)
3) (iii)
4) (i)
5) (iii)
6) (ii)
7) (iii)
8) (ii)
9) (ii)
10) (ii)
11) (iii)
