Assignment Quantitative Analysis I (FBM0025) January 2024 semester Prepared for: Mdm Wan Sharizan bt Wan Mamat Pauzam Title : Trigonometry applied in real life situation Project Manager: Hafisha Sofea Binti Mohd Hafiz (22011265) Assistant Project Manager: Nik Nurshaffiyyah Umairah Binti Nik Halimi (22011238) Content Contributor 1: Muhammad Aqil Arman Bin Aidie Azman (22011118) Content Contributor 2: Uzma Afiqah Binti Shaharzat (22011227) Editor: Nuriylia Hani Binti Mohd Hadi (22011189) Layout Design: Adam Mukhlis Bin Hazri (22011166) Illustrator 1: Adilla Binti Abd Rahman 22011054 Illustrator 2: Putra Haikal Daniel Bin Mohd Hafizi (22011038) Writer 1: Kwong Chee Sing (22011252) Writer 2: Danish Shazlin Rafhan bin Sharulnizaam (22011033)
TTRRIIGGOONNOOMMEETTRRYY AAPPPPLLIIEEDD IINN AARRCCHHIITTEECCTTUURREE HI JAMES, CAN I ASK YOU SOMETHING ? YEAH SURE ! WHAT IS IT ? DO YOU KNOW WHAT TRIGONOMETRY MEANS ? TRIGONOMETRY MEANS A BRANCH OF MATHEMATICS CONCERNED WITH RELATIONSHIP BETWEEN ANGLES AND SIDES LENGTH OF TRIANGLES THERE ARE MANY FUNCTIONS FROM STUDYING TRIGONOMETRY SUCH AS APPLIED IN ASTRONOMY AND ARCHITECTURE HAA ?? EVEN TRIGONOMETRY CAN BE USED IN ARCHITECTURE? YEAH !! TRIGONOMETRY CAN BE USED TO CALCULATE THE HEIGHT OF A BUILDING. DO YOU WANT TO KNOW HOW ? SURE !!
TTRRIIGGOONNOOMMEETTRRYY AAPPPPLLIIEEDD IINN AARRCCHHIITTEECCTTUURREE LOOK AT THIS BRIDGE… BRIDGE IS ALSO ONE OF THE EXAMPLE FOR APPLICATION OF TRIGONOMETRY IN DAILY LIFE OH REALLY ?? I’VE NEVER HEARD ABOUT THAT. CAN YOU EXPLAIN IT TO ME ?? SURE !! THE ARCHITECT WILL USE THE TRIGONOMETRY FUNCTIONS TO MEASURE THE HEIGHT, LENGHTS AND THE ANGLES OF EACH PART OF THE BRIDGE TO ENSURE ITS STABILITY AND ITS STRENGTH LOOK AT THE PICTURE, YOU HAVE THE VALUE OF THE HEIGHT (2m) AND THE LENGTH (3m) NOW YOU CAN CALCULATE THE HYPOTENUSE (h) BY USING PYTHAGORAS THEORAM WHICH IS LOOK !! IT IS EASY RIGHT ?? NOW, YOU ALREADY KNOW EACH LENGTH OF EACH SIDE. OH I SEE !! HOW ABOUT THE ANGLE OF THE TRIANGLE, HOW DO YOU FIND FOR IT ?? WHAT FORMULA ARE GOING TO BE USED ??
TTRRIIGGOONNOOMMEETTRRYY AAPPPPLLIIEEDD IINN AARRCCHHIITTEECCTTUURREE FIRST AND FOREMOST, YOU HAVE TO KNOW THAT THERE ARE THREE SIDE OF TRIANGLE CALLED OPPOSITE (O), ADJACENT(A) AND HYPOTHENUSE (H) NOW, YOU HAVE TO KNOW THAT THERE ARE THREE FORMULA TO CALCULATE THE ANGLE WHICH IS SINE FORMULA, COSINE FORMULA AND TANGENT FORMULA HOW TO FIND THE ANGLE ?? WELL, FOR THIS TRIANGLE, IT IS CLEARLY STATED THE OPPOSITE OF THE ANGLE (2) AND THE ADJACENT (3) OHHH I SEE, SO HOW DO YOU CALCULATE IT USING THE INVERSE OF THE TANGENT FORMULA ? SO YOU CAN DIRECTLY USE THE INVERSE OF TANGENT FORMULA
TTRRIIGGOONNOOMMEETTRRYY AAPPPPLLIIEEDD IINN AARRCCHHIITTEECCTTUURREE SURE !! SO, THIS IS HOW YOU BRING THE INFORMATION GIVEN INTO THE TANGENT FORMULA!!!! YOU GOT IT ?? OUH, NOW I GOT IT!! SO THAT’S HOW TO USE TANGENT FORMULA IN TRIGO IT’S BEAUTIFUL RIGHT ? WITH HOW WE USE EACH ANGLE TO CALCULATE IT IT’S CERTAINLY BEAUTIFUL!!! IT’S LIKE AN ART YEAH AN ART THAT’S HAVE BEEN APPLIED IN ARCHITECTURE AND DESGIN IN MANY BUILDING THANKS FOR LISTENING TO THIS LECTURE OF MINE