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Ex 3.1, 2 - Find degree of radian measures: 11/16, -4 - Radian measure - Conversion

  1. Chapter 3 Class 11 Trigonometric Functions
  2. Serial order wise
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Ex3.1, 2 Find the degree measures corresponding to the following radian measures (use Ο€ = 22/7) 11/16 We know that Radian measure = πœ‹/180 Γ— Degree measure 11/16 = πœ‹/180 Γ— Degree measure 11/16 Γ— 180/πœ‹ = Degree measure Degree measure = 11/16 Γ— 180/πœ‹ Degree measure = 11/16 Γ— 180/22 Γ— 7 = (11 Γ— 180 Γ— 7)/(16 Γ— 22) = (1 Γ— 90 Γ— 7)/(8 Γ— 2) = (1 Γ— 45 Γ— 7)/(4 Γ— 2) = 315/8 = 39Β° + 3/8 Β° = 39Β° + (3/8 Γ—60)^β€² = 39Β° + (45/2)^β€² = 39Β° + ("22" 1/2)^β€² = 39Β° + (22)’ + (1/2)^β€² = 39Β° + (22)’ + (1/2 Γ—60)^β€²β€² = 39Β° + (22)’ + (30)’’ = 39Β° 22’ 30’’ Ex3.1, 2 Find the degree measures corresponding to the following radian measures (use Ο€ = 22/7) (ii) – 4 We know that Radian measure = πœ‹/180 Γ— Degree measure β‡’ - 4 = πœ‹/180 Γ— Degree measure β‡’ Degree measure = –4 Γ— 180/πœ‹ β‡’ Degree measure = – 4 Γ— 180/22 Γ— 7 β‡’ Degree measure = – ((4 Γ— 180 Γ— 7)/22) β‡’ Degree measure = – (2520/11) = – ( 229o + 1o/11 ) = – ( 229o + ( 1/11 Γ— 60)’ ) = – ( 229o + (60/11)’ ) = – ( 229o + 5 5/11 β€˜ ) = – ( 229o + 5β€˜ + (5 β€²)/11 ) = – ( 229o + 5β€˜ + ( (5 )/11 Γ— 60 ) β€˜β€™ ) = – ( 229o + 5β€˜ + ( 300/11) β€˜β€™ ) = – ( 229o + 5β€˜ + 300"β€˜β€™" /11 ) = – 229o 5’ 27’’ nearly Ex 3.1, 2 Find the degree measures corresponding to the following radian measures(use Ο€ = 22/7) (iii) 5πœ‹/3 We know that Radian measure = πœ‹/180 Γ— Degree measure. 5πœ‹/3 = πœ‹/180 Γ— Degree measure. 5πœ‹/3 Γ— πœ‹/180 = Degree measure. (5 Γ— πœ‹ Γ—180)/(3 Γ— πœ‹) = Degree measure. 5 Γ— 60 = Degree measure. 300 = Degree measure Degree measure = 300Β° Ex3.1, 2 Find the degree measures corresponding to the following radian measures (use Ο€ = 22/7) (iv) 7πœ‹/6 We know that Radian measure = πœ‹/180 Γ— degree measure. 7πœ‹/6 = πœ‹/180 Γ— degree measure. 7πœ‹/6 Γ— 180/πœ‹ = degree measure. (7 Γ— πœ‹ Γ—180)/(6 Γ— πœ‹) = degree measure. 210 = Degree measure. Degree measure = 210Β°

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