EduSahara™ Assignment
Name : Trigonometry Word Problems
Chapter : Introduction to Trigonometry
Grade : CBSE Grade X
License : Non Commercial Use
Question
1
1.
In
△ABC
, right angled at
B
,
if
tan
A
=
1
3
,
find
sin
A
cos
C
+
cos
A
sin
C
(i)
1
3
√
10
(ii)
√
10
(iii)
1
(iv)
1
10
√
10
(v)
3
10
√
10
Question
2
2.
In
△FGH
, right angled at
G
,
if
tan
F
=
7
9
,
find
cos
F
cos
H
−
sin
F
sin
H
(i)
0
(ii)
7
130
√
130
(iii)
1
9
√
130
(iv)
9
130
√
130
(v)
1
7
√
130
Question
3
3.
Find the length of the side of a 7-sided regular polygon inscribed in a circle of radius 1 m
(i)
0.9110 m
(ii)
0.8610 m
(iii)
0.7610 m
(iv)
0.9610 m
Question
4
4.
Find the length of the chord of the unit circle subtending an angle of 147° at the centre
(i)
1.9676
(ii)
1.9176
(iii)
1.8176
(iv)
2.0176
Question
5
5.
Find the area of the right angled triangle with hypotenuse 3 cm and one of the acute angle being 30°
(i)
3.9485 cm
(ii)
0.9485 cm
(iii)
2.9485 cm
(iv)
1.9485 cm
Question
6
6.
Find the area of an isosceles triangle with base 8 cm and vertical angle 40°
(i)
44.9560 cm
(ii)
43.9560 cm
(iii)
42.9560 cm
(iv)
45.9560 cm
Question
7
7.
If
R
,
S
and
T
are the interior angles of a triangle, then
sin
(
R + S
2
)
=
(i)
cos
(
T
2
)
(ii)
cos
(
R
2
)
(iii)
sin
(
R
2
)
(iv)
sin
T
(v)
sin
(
T
2
)
Question
8
8.
Find the length of the side of a 3-sided regular polygon inscribed in a circle of radius 1 m
(i)
1.6320 m
(ii)
1.7820 m
(iii)
1.7320 m
(iv)
1.8320 m
Question
9
9.
Find the length of the chord of the unit circle subtending an angle of 113° at the centre
(i)
1.5678
(ii)
1.7678
(iii)
1.6678
(iv)
1.7178
Question
10
10.
Find the area of the right angled triangle with hypotenuse 6 cm and one of the acute angle being 56°
(i)
9.3444 cm
(ii)
8.3444 cm
(iii)
10.3444 cm
(iv)
7.3444 cm
Question
11
11.
Find the area of an isosceles triangle with base 4 cm and vertical angle 38°
(i)
13.6178 cm
(ii)
10.6178 cm
(iii)
12.6178 cm
(iv)
11.6178 cm
Assignment Key
1) (iii)
2) (i)
3) (ii)
4) (ii)
5) (iv)
6) (ii)
7) (i)
8) (iii)
9) (iii)
10) (ii)
11) (iv)
