EduSahara™ Assignment
Name : Trigonometry Word Problems
Chapter : Introduction to Trigonometry
Grade : CBSE Grade X
License : Non Commercial Use
Question
1
1.
In
△GHI
, right angled at
H
,
if
tan
G
=
1
3
,
find
sin
G
cos
I
+
cos
G
sin
I
(i)
1
10
√
10
(ii)
3
10
√
10
(iii)
1
(iv)
√
10
(v)
1
3
√
10
Question
2
2.
In
△JKL
, right angled at
K
,
if
tan
J
=
1
2
,
find
cos
J
cos
L
−
sin
J
sin
L
(i)
2
5
√
5
(ii)
√
5
(iii)
0
(iv)
1
5
√
5
(v)
1
2
√
5
Question
3
3.
Find the length of the side of a 4-sided regular polygon inscribed in a circle of radius 1 m
(i)
1.4642 m
(ii)
1.4142 m
(iii)
1.3142 m
(iv)
1.5142 m
Question
4
4.
Find the length of the chord of the unit circle subtending an angle of 159° at the centre
(i)
2.0666
(ii)
2.0166
(iii)
1.8666
(iv)
1.9666
Question
5
5.
Find the area of the right angled triangle with hypotenuse 5 cm and one of the acute angle being 67°
(i)
4.4955 cm
(ii)
5.4955 cm
(iii)
3.4955 cm
(iv)
6.4955 cm
Question
6
6.
Find the area of an isosceles triangle with base 6 cm and vertical angle 34°
(i)
30.4406 cm
(ii)
29.4406 cm
(iii)
28.4406 cm
(iv)
31.4406 cm
Question
7
7.
If
P
,
Q
and
R
are the interior angles of a triangle, then
sin
(
P + Q
2
)
=
(i)
sin
(
P
2
)
(ii)
cos
(
P
2
)
(iii)
sin
R
(iv)
cos
(
R
2
)
(v)
sin
(
R
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)
0.3158 m
(ii)
0.5158 m
(iii)
0.4158 m
(iv)
0.4658 m
Question
9
9.
Find the length of the chord of the unit circle subtending an angle of 129° at the centre
(i)
1.9052
(ii)
1.8052
(iii)
1.7052
(iv)
1.8552
Question
10
10.
Find the area of the right angled triangle with hypotenuse 5 cm and one of the acute angle being 53°
(i)
5.0075 cm
(ii)
7.0075 cm
(iii)
8.0075 cm
(iv)
6.0075 cm
Question
11
11.
Find the area of an isosceles triangle with base 4 cm and vertical angle 68°
(i)
6.9303 cm
(ii)
5.9303 cm
(iii)
4.9303 cm
(iv)
7.9303 cm
Assignment Key
1) (iii)
2) (iii)
3) (ii)
4) (iv)
5) (i)
6) (ii)
7) (iv)
8) (iii)
9) (ii)
10) (iv)
11) (ii)
