EduSahara™ Assignment
Name : Trigonometry Word Problems
Chapter : Trigonometrical Identities
Grade : ICSE Grade X
License : Non Commercial Use
Question
1
1.
In
△DEF
, right angled at
E
,
if
tan
D
=
1
6
,
find
sin
D
cos
F
+
cos
D
sin
F
(i)
1
37
√
37
(ii)
1
(iii)
6
37
√
37
(iv)
√
37
(v)
1
6
√
37
Question
2
2.
In
△BCD
, right angled at
C
,
if
tan
B
=
3
5
,
find
cos
B
cos
D
−
sin
B
sin
D
(i)
1
5
√
34
(ii)
5
34
√
34
(iii)
1
3
√
34
(iv)
0
(v)
3
34
√
34
Question
3
3.
Find the length of the side of a 6-sided regular polygon inscribed in a circle of radius 1 m
(i)
1.1000 m
(ii)
1.0500 m
(iii)
0.9000 m
(iv)
1.0000 m
Question
4
4.
Find the length of the chord of the unit circle subtending an angle of 100° at the centre
(i)
1.6320
(ii)
1.5820
(iii)
1.5320
(iv)
1.4320
Question
5
5.
Find the area of the right angled triangle with hypotenuse 7 cm and one of the acute angle being 40°
(i)
12.0634 cm
(ii)
14.0634 cm
(iii)
11.0634 cm
(iv)
13.0634 cm
Question
6
6.
Find the area of an isosceles triangle with base 8 cm and vertical angle 61°
(i)
27.1647 cm
(ii)
26.1647 cm
(iii)
29.1647 cm
(iv)
28.1647 cm
Question
7
7.
If
P
,
Q
and
R
are the interior angles of a triangle, then
sin
(
P + Q
2
)
=
(i)
sin
(
R
2
)
(ii)
sin
(
P
2
)
(iii)
cos
(
R
2
)
(iv)
cos
(
P
2
)
(v)
sin
R
Assignment Key
1) (ii)
2) (iv)
3) (iv)
4) (iii)
5) (i)
6) (i)
7) (iii)
