Learn All Concepts of Chapter 2 Class 11 Relations and Function - FREE. Check - Trigonometry Class 11 - All Concepts

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  1. Chapter 3 Class 11 Trigonometric Functions
  2. Serial order wise

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œ‹/180 ร— Degree measure 11/16 = ๐œ‹/180 ร— Degree measure 11/16 ร— 180/๐œ‹ = Degree measure Degree measure = 11/16 ร— 180/๐œ‹ 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 + ใ€–3/8ใ€—^ยฐ = 39ยฐ + (3/8 ร— 60)^โ€ฒ = 39ยฐ + (45/2)^โ€ฒ = 39ยฐ + ("22" 1/2)^โ€ฒ = 39ยฐ + (22)โ€™ + (1/2)^โ€ฒ = 39ยฐ + (22)โ€™ + (1/2)^โ€ฒ = 39ยฐ + (22)โ€™ + (1/2 ร— 60)^โ€ฒโ€ฒ = 39ยฐ + (22)โ€™ + (30)โ€™โ€™ = 39ยฐ 22โ€™ 30โ€™โ€™ Ex 3.1, 2 Find the degree measures corresponding to the following radian measures ("use " ฯ€" = " 22/7) (ii) โ€“4 We know that Radian measure = ๐œ‹/180 ร— Degree measure โˆ’4 = ๐œ‹/180 ร— Degree measure Degree measure = โ€“4 ร— 180/๐œ‹ Degree measure = โ€“4 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" )^โ€ฒ ) = โ€“("229" ยฐ" + " (60/11)^โ€ฒ " " ) = โ€“("229" ยฐ" + 5 " ใ€–5/11ใ€—^โ€ฒ ) = โ€“("229" ยฐ" + 5โ€˜ + " (5 โ€ฒ)/11) = โ€“("229" ยฐ" + 5โ€˜ + " ((5 )/11 " ร— 60" )^"โ€˜โ€™" " " ) = โ€“("229" ยฐ" + 5โ€˜ + " (300/11)^"โ€˜โ€™" " " ) = โ€“("229" ยฐ" + 5โ€˜ + " 300"โ€˜โ€™" /11) = โ€“229ยฐ 5โ€™ 27โ€™โ€™ nearly Ex 3.1, 2 Find the degree measures corresponding to the following radian measures ("use " ฯ€" = " 22/7) (iii) 5๐œ‹/3 We know that Radian measure = ๐œ‹/180 ร— Degree measure. 5๐œ‹/3 = ๐œ‹/180 ร— Degree measure. 5๐œ‹/3 ร— 180/๐œ‹ = 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œ‹/6 We know that Radian measure = ๐œ‹/180 ร— degree measure. 7๐œ‹/6 = ๐œ‹/180 ร— degree measure. 7๐œ‹/6 ร— 180/๐œ‹ = degree measure. (7 ร— ๐œ‹ ร—180)/(6 ร— ๐œ‹) = degree measure. 210 = Degree measure. Degree measure = 210ยฐ

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.