Ex 3.2, 10 - Chapter 3 Class 11 Trigonometric Functions

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Ex 3.2, 10 Find the value of the trigonometric function cot ("–" 15"π" /4) cot ((−15 𝜋)/4) = –cot ((15 𝜋)/4) = –cot ("3" 𝟑/𝟒 "π" ) = –cot ("4π – " 𝟏/𝟒 " π" ) = – cot ((−𝟏)/𝟒 " π" ) Values of cot x repeats after an interval of 2π. Hence, ignoring 4π i.e. 2 × (2π) Rough So, 15/4 = 3 3/4 = 3 + 3/4 or 4 – 1/4 We take 4 – 𝟏/𝟒 as it is even