Limit of trigonometric function , Exams of Mathematics

Limit of trigonometric function

Typology: Exams

2016/2017

Uploaded on 10/18/2017

OSAMA-ALSATTARI
OSAMA-ALSATTARI 🇵🇸

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_ sin2x + cos2x cotx Evaluate: lim. —H xy SINZX — coszx tanx olution: OSX 3 c ; ZSittx COSX . sin2x + cos2x cotx _ rere i a E SINX sinZx — cos2Zx tanx 2 steko cate COSX cosx(Zsin*x cosx + cos*x —cosxsin*x) cos*xsin*x+cos*x sinx(Zsinx cos*x — sinx cos*x+sin3x) sin*x cos*x+sintx cos*x (sin*x+cos*x) cos*x sin?x (cos?x+sin*x) sin?x Consequently, limM = 0 135 IMR.OSAMA ABDULFATTAH ALSATTARI (cos*x — sin?x) Let M = (cos?x — sin?x) Thus, M =