Ex 3.1, 7 - Chapter 3 Class 11 Trigonometric Functions

Transcript

Ex 3.1, 7 Find the angle in radian though which a pendulum swings if its length is 75 cm and the tip describes an arc of length (i) 10 cm Given, r = Radius = Length of pendulum = 75 cm 𝒍 = Length of arc = 10 cm We need to find θ We know that θ = 𝒍/𝒓 θ = 10/75 θ = 𝟐/𝟏𝟓 radian Ex 3.1, 7 Find the angle in radian though which a pendulum swings if its length is 75 cm and the tip describes an arc of length (ii) 15 cm Given, r = Radius = Length of pendulum = 75 cm 𝒍 = Length of arc = 15 cm We need to find θ We know that θ = 𝒍/𝒓 θ = 15/75 θ = 𝟏/𝟓 radian Ex 3.1, 7 Find the angle in radian though which a pendulum swings if its length is 75 cm and the tip describes an arc of length (iii) 21 cm Given, r = Radius = Length of pendulum = 75 cm 𝒍 = Length of arc = 21 cm We need to find θ We know that θ = 𝒍/𝒓 θ = 21/75 θ = 𝟐/𝟐𝟓 radian