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

Transcript

Ex3.1, 2 Find the degree measures corresponding to the following radian measures (use = 22/7) 11/16 We know that Radian measure = /180 Degree measure 11/16 = /180 Degree measure 11/16 180/ = Degree measure Degree measure = 11/16 180/ Degree measure = 11/16 180/22 7 = (11 180 7)/(16 22) = (1 90 7)/(8 2) = (1 45 7)/(4 2) = 315/8 = 39 + 3/8 = 39 + (3/8 60)^ = 39 + (45/2)^ = 39 + ("22" 1/2)^ = 39 + (22) + (1/2)^ = 39 + (22) + (1/2 60)^ = 39 + (22) + (30) = 39 22 30 Ex3.1, 2 Find the degree measures corresponding to the following radian measures (use = 22/7) (ii) 4 We know that Radian measure = /180 Degree measure - 4 = /180 Degree measure Degree measure = 4 180/ Degree measure = 4 180/22 7 Degree measure = ((4 180 7)/22) Degree measure = (2520/11) = ( 229o + 1o/11 ) = ( 229o + ( 1/11 60) ) = ( 229o + (60/11) ) = ( 229o + 5 5/11 ) = ( 229o + 5 + (5 )/11 ) = ( 229o + 5 + ( (5 )/11 60 ) ) = ( 229o + 5 + ( 300/11) ) = ( 229o + 5 + 300" " /11 ) = 229o 5 27 nearly Ex 3.1, 2 Find the degree measures corresponding to the following radian measures(use = 22/7) (iii) 5 /3 We know that Radian measure = /180 Degree measure. 5 /3 = /180 Degree measure. 5 /3 /180 = Degree measure. (5 180)/(3 ) = Degree measure. 5 60 = Degree measure. 300 = Degree measure Degree measure = 300 Ex3.1, 2 Find the degree measures corresponding to the following radian measures (use = 22/7) (iv) 7 /6 We know that Radian measure = /180 degree measure. 7 /6 = /180 degree measure. 7 /6 180/ = degree measure. (7 180)/(6 ) = degree measure. 210 = Degree measure. Degree measure = 210

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