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First derivative of trigonometric function, Exams of Mathematics

Al-Aqsa UniversityMathematics

First derivative of trigonometric function

Typology: Exams

2016/2017

Uploaded on 10/18/2017

OSAMA-ALSATTARI
OSAMA-ALSATTARI 🇵🇸

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tanx+ secx—1 arc ( ; ) Se Oe NILE = secx(secx + tanx fy tanx —secx+1 B ¥ Proof: tanx+secx—1 tanx+secx+1 tan*x + 2tanx secx + sec? x-1 x = tanx—secx+1 tanx+secx4+1 tan*x 4+ 2tanx — sec*x+1 tan?x + Ztanx secx + (tan?x + 1) -1 2 since sec*x =1+tan?x tan*x + 2tanx — (tan?@x+1)4+1 2Ztan*x+2tanx secx 2tanx(tanx + secx) Thus,y = = = tanx + secx Ztanx Zianx Hence, y’ = sec*x + secx tanx = secx(secx + tanx) MR.OSAMA ABDULFATTAH ALSATTARI