Last updated at Feb. 12, 2020 by Teachoo
Transcript
Ex 3.1, 2 Find the degree measures corresponding to the following radian measures ("use " ฯ" = " 22/7) (i) 11/16 We know that Radian measure = ๐/180 ร Degree measure 11/16 = ๐/180 ร Degree measure 11/16 ร 180/๐ = Degree measure Degree measure = 11/16 ร 180/๐ Degree measure = 11/16 ร 180/22 ร 7 = (11 ร 180 ร 7)/(16 ร 22) = (1 ร 90 ร 7)/(8 ร 2) = (1 ร 45 ร 7)/(4 ร 2) = 315/8 = 39ยฐ + ใ3/8ใ^ยฐ = 39ยฐ + (3/8 ร 60)^โฒ = 39ยฐ + (45/2)^โฒ = 39ยฐ + ("22" 1/2)^โฒ = 39ยฐ + (22)โ + (1/2)^โฒ = 39ยฐ + (22)โ + (1/2)^โฒ = 39ยฐ + (22)โ + (1/2 ร 60)^โฒโฒ = 39ยฐ + (22)โ + (30)โโ = 39ยฐ 22โ 30โโ Ex 3.1, 2 Find the degree measures corresponding to the following radian measures ("use " ฯ" = " 22/7) (ii) โ4 We know that Radian measure = ๐/180 ร Degree measure โ4 = ๐/180 ร Degree measure Degree measure = โ4 ร 180/๐ Degree measure = โ4 ร 180/22 ร 7 Degree measure = โ((4 ร 180 ร 7)/22) Degree measure = โ(2520/11) = โ("229" ยฐ" + " 1o/11) = โ("229" ยฐ" + " (1/11 " ร 60" )^โฒ ) = โ("229" ยฐ" + " (60/11)^โฒ " " ) = โ("229" ยฐ" + 5 " ใ5/11ใ^โฒ ) = โ("229" ยฐ" + 5โ + " (5 โฒ)/11) = โ("229" ยฐ" + 5โ + " ((5 )/11 " ร 60" )^"โโ" " " ) = โ("229" ยฐ" + 5โ + " (300/11)^"โโ" " " ) = โ("229" ยฐ" + 5โ + " 300"โโ" /11) = โ229ยฐ 5โ 27โโ nearly Ex 3.1, 2 Find the degree measures corresponding to the following radian measures ("use " ฯ" = " 22/7) (iii) 5๐/3 We know that Radian measure = ๐/180 ร Degree measure. 5๐/3 = ๐/180 ร Degree measure. 5๐/3 ร 180/๐ = Degree measure. 5 ร 60 = Degree measure. 300 = Degree measure Degree measure = 300ยฐ Ex 3.1, 2 Find the degree measures corresponding to the following radian measures ("use " ฯ" = " 22/7) (iv) 7๐/6 We know that Radian measure = ๐/180 ร degree measure. 7๐/6 = ๐/180 ร degree measure. 7๐/6 ร 180/๐ = degree measure. (7 ร ๐ ร180)/(6 ร ๐) = degree measure. 210 = Degree measure. Degree measure = 210ยฐ
Radian measure - Conversion
About the Author