EduSahara™ Assignment
Name : Trigonometry Word Problems
Chapter : Trigonometrical Identities
Grade : ICSE Grade X
License : Non Commercial Use
Question
1
1.
In
△KLM
, right angled at
L
,
if
tan
K
=
3
4
,
find
sin
K
cos
M
+
cos
K
sin
M
(i)
5
4
(ii)
5
3
(iii)
3
5
(iv)
1
(v)
4
5
Question
2
2.
In
△KLM
, right angled at
L
,
if
tan
K
=
6
7
,
find
cos
K
cos
M
−
sin
K
sin
M
(i)
1
6
√
85
(ii)
6
85
√
85
(iii)
7
85
√
85
(iv)
0
(v)
1
7
√
85
Question
3
3.
Find the length of the side of a 14-sided regular polygon inscribed in a circle of radius 1 m
(i)
0.4328 m
(ii)
0.3328 m
(iii)
0.5328 m
(iv)
0.4828 m
Question
4
4.
Find the length of the chord of the unit circle subtending an angle of 155° at the centre
(i)
1.9526
(ii)
1.8526
(iii)
2.0026
(iv)
2.0526
Question
5
5.
Find the area of the right angled triangle with hypotenuse 7 cm and one of the acute angle being 35°
(i)
10.5124 cm
(ii)
13.5124 cm
(iii)
11.5124 cm
(iv)
12.5124 cm
Question
6
6.
Find the area of an isosceles triangle with base 6 cm and vertical angle 49°
(i)
19.7498 cm
(ii)
18.7498 cm
(iii)
21.7498 cm
(iv)
20.7498 cm
Question
7
7.
If
R
,
S
and
T
are the interior angles of a triangle, then
sin
(
R + S
2
)
=
(i)
sin
(
R
2
)
(ii)
cos
(
R
2
)
(iii)
cos
(
T
2
)
(iv)
sin
T
(v)
sin
(
T
2
)
Assignment Key
1) (iv)
2) (iv)
3) (i)
4) (i)
5) (iii)
6) (i)
7) (iii)
