NCERT Class XI Mathematics - Trigonometric Functions - Solutions

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Question : 7
Total: 61
Find the angle in radian through which a pendulum swings if its length is 75 cm and the tip describes an arc of length
(i) 10 cm (ii) 15 cm (iii) 21 cm
Solution:  
(i) r = 75 cm, l = 10 cm ⇒ θ =
l
r
=
10
75
=
2
15
radians
(ii) l = 15 cm, r = 75 cm ⇒ θ =
l
r
=
15
75
=
1
5
radians
(iii) l = 21 cm, r = 75 cm ⇒ θ =
l
r
=
21
75
=
7
25
radians
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