EduSahara™ Assignment
Name : Trigonometry Word Problems
Chapter : Introduction to Trigonometry
Grade : CBSE Grade X
License : Non Commercial Use
Question
1
1.
In
△IJK
, right angled at
J
,
if
tan
I
=
2
3
,
find
sin
I
cos
K
+
cos
I
sin
K
(i)
1
2
√
13
(ii)
1
(iii)
3
13
√
13
(iv)
2
13
√
13
(v)
1
3
√
13
Question
2
2.
In
△CDE
, right angled at
D
,
if
tan
C
=
1
5
,
find
cos
C
cos
E
−
sin
C
sin
E
(i)
√
26
(ii)
1
26
√
26
(iii)
0
(iv)
1
5
√
26
(v)
5
26
√
26
Question
3
3.
Find the length of the side of a 10-sided regular polygon inscribed in a circle of radius 1 m
(i)
0.6680 m
(ii)
0.6180 m
(iii)
0.5180 m
(iv)
0.7180 m
Question
4
4.
Find the length of the chord of the unit circle subtending an angle of 112° at the centre
(i)
1.7580
(ii)
1.6580
(iii)
1.5580
(iv)
1.7080
Question
5
5.
Find the area of the right angled triangle with hypotenuse 6 cm and one of the acute angle being 31°
(i)
7.9462 cm
(ii)
6.9462 cm
(iii)
9.9462 cm
(iv)
8.9462 cm
Question
6
6.
Find the area of an isosceles triangle with base 8 cm and vertical angle 68°
(i)
23.7213 cm
(ii)
22.7213 cm
(iii)
24.7213 cm
(iv)
25.7213 cm
Question
7
7.
If
S
,
T
and
U
are the interior angles of a triangle, then
sin
(
S + T
2
)
=
(i)
sin
(
U
2
)
(ii)
cos
(
U
2
)
(iii)
sin
U
(iv)
sin
(
S
2
)
(v)
cos
(
S
2
)
Question
8
8.
Find the length of the side of a 15-sided regular polygon inscribed in a circle of radius 1 m
(i)
0.4158 m
(ii)
0.3158 m
(iii)
0.5158 m
(iv)
0.4658 m
Question
9
9.
Find the length of the chord of the unit circle subtending an angle of 159° at the centre
(i)
2.0166
(ii)
1.8666
(iii)
2.0666
(iv)
1.9666
Question
10
10.
Find the area of the right angled triangle with hypotenuse 4 cm and one of the acute angle being 34°
(i)
4.7086 cm
(ii)
2.7086 cm
(iii)
3.7086 cm
(iv)
5.7086 cm
Question
11
11.
Find the area of an isosceles triangle with base 6 cm and vertical angle 61°
(i)
15.2801 cm
(ii)
17.2801 cm
(iii)
16.2801 cm
(iv)
14.2801 cm
Assignment Key
1) (ii)
2) (iii)
3) (ii)
4) (ii)
5) (i)
6) (i)
7) (ii)
8) (i)
9) (iv)
10) (iii)
11) (i)
