Ex 3.1, 2 (ii) - Chapter 3 Class 11 Trigonometric Functions

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Ex 3.1, 2 Find the degree measures corresponding to the following radian measures ("use " π" = " 22/7) (ii) –4 We know that Radian measure = 𝝅/𝟏𝟖𝟎 × Degree measure −4 = 𝜋/180 × Degree measure Degree measure = –4 × 𝟏𝟖𝟎/𝝅 Degree measure = –4 × 180/22 × 7 Degree measure = –((𝟒 × 𝟏𝟖𝟎 × 𝟕)/𝟐𝟐) Degree measure = –(𝟐𝟓𝟐𝟎/𝟏𝟏) = –("229" °" + " 𝟏𝒐/𝟏𝟏) = –("229" °" + " (1/11 " × 60" )^′ ) = –("229" °" + " (𝟔𝟎/𝟏𝟏)^′ " " ) = –("229" °" + 5 " 〖𝟓/𝟏𝟏〗^′ ) = –("229" °" + 5‘ + " (5 ′)/11) = –("229" °" + 5‘ + " ((𝟓 )/𝟏𝟏 " × 60" )^"‘’" " " ) = –("229" °" + 5‘ + " (𝟑𝟎𝟎/𝟏𝟏)^"‘’" " " ) = –("229" °" + 5‘ + " 300"‘’" /11) = –229° 5’ 27’’ nearly