Last updated at Feb. 12, 2020 by Teachoo
Transcript
Ex 3.1, 1 Find the radian measures corresponding to the following degree measures: 25° Radian measure = "π" /180 × Degree measure = "π" /180 × 25° = "π" × 5/36 = 𝟓𝝅/𝟑𝟔 radians Ex 3.1, 1 Find the radian measures corresponding to the following degree measures: (ii) –47° 30’ –47° 30′ = –(47° + 30′) = –("47" °"+ " (30°)/60) = –("47" °"+ " ( 1°)/2) = –(( 94 + 1°)/2) = –(( 95°)/2) 1 degree = 60 min i.e. 1° = 60′ Radian measure = "π" /180 × degree measure = "π" /180 × (("–" 95)/2) = "π" × (−19)/72 = (−𝟏𝟗𝝅)/𝟕𝟐 radians Ex 3.1, 1 Find the radian measures corresponding to the following degree measures: (iii) 240° Radian measure = "π" /180 × degree measure = "π" /180 × 240° = "π" × 4/3 radians = 𝟒/𝟑 "π" radians Ex 3.1, 1 Find the radian measures corresponding to the following degree measures: (iv) 520° Radian measure = "π" /180 × degree measure = "π" /180 × 520° = "π" × 26/9 = 𝟐𝟔/𝟗 "π" radians
Radian measure - Conversion
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