NORHAFIZAH BINTI ARSHAD NOORSAADAH BINTI ISHAK AHMAD ZAFIR BIN LATIB SCIENTIFIC CALCULATOR CASIO fx-570MS FOR POLYTECHNIC STUDENTS STEP BY STEP GUIDE TO USING
First Edition AUTHOR: NORHAFIZAH BINTI ARSHAD NOORSAADAH BINTI ISHAK AHMAD ZAFIR BIN LATIB EDITOR: NORAFIZA AKMA BINTI SHAMSUDIN SCIENTIFIC CALCULATOR CASIO fx-570MS FOR POLYTECHNIC STUDENTS STEP BY STEP GUIDE TO USING
Copyright © Politeknik Sultan Idris Shah 2022 First Edition 2022 All Rights Reserved. No part of this publication may be reproduced, stored in a retrieval system or transmitted in any form or by any means, electronics, mechanical, photocopying, recording or otherwise, without the prior permission in writing from the Publisher. Perpustakaan Negara Malaysia Cataloguing-in-Publication Data Norhafizah Arshad, 1984- STEP BY STEP GUIDE TO USING : SCIENTIFIC CALCULATOR CASIO fx-570MS : FOR POLYTECHNIC STUDENTS / AUTHOR: NORHAFIZAH BINTI ARSHAD, NOORSAADAH BINTI ISHAK, AHMAD ZAFIR BIN LATIB ; EDITOR: NORAFIZA AKMA BINTI SHAMSUDIN. – First Edition. Mode of access: Internet eISBN 978-967-2860-49-5 1. Calculators. 2. Programmable calculators. 3. Mathematics--Data processing. 4. Government publications--Malaysia. 5. Electronic books. I. Noorsaadah Ishak, 1985-. II. Ahmad Zafir Latib, 1982-. III. Norafiza Akma Shamsudin, 1986-. IV. Title. 510.284 Published by: Politeknik Sultan Idris Shah Sungai Lang, 45100, Sungai Air Tawar, Selangor Darul Ehsan Tel: 03-32806200 Fax: 03-32806400 Website: https://psis.mypolycc.edu.my/
PREFACE Thanks to Allah S.W.T for granting the strength and time to accomplish Step By Step Guide To Using Scientific Calculator Casio fx-570MS For Polytechnic Students e-book. First of all, we would like to take immense pleasure in thanking our family for their greatest support along the way and for their continuous encouragement so that we can gain inner strength to complete this e-book. We also would like to thank those who were involved directly or indirectly in making this e-book success. Thanks for all support and encouragement. Any suggestions and comments from teachers and students for improvement in the future edition of this e-book will be appreciated. Norhafizah Binti Arshad Noorsaadah Binti Ishak Ahmad Zafir Bin Latib Politeknik Sultan Idris Shah iii
ABSTRACT Step By Step Guide to using Scientific Calculator Casio fx-570MS for Polytechnic Students first edition written for diploma students studying in polytechnic institutions. This e-book is designed to shown step by step how to use the Calculator Casio fx-570MS for chapters covered in the Engineering Mathematics 1 (DBM 10013) syllabus which are Basic Algebra, Trigonometry, Complex Number, Matrices and Vector And Scalar. This e-book also can reduce students' mistakes and negligence in using scientific calculator while answering mathematic questions. This book also been designed to help students to increase students' knowledge in the use of scientific calculator and students can master the techniques of using scientific calculators correctly. Aside from that, the concepts, methods and notes are represented conveniently by using simple words. Drill and practice Exercises Questions are provided to help students expand the understanding in using scientific calculators for beyond teaching. iv
No Content Page Preface iii Abstract iv Table of Content v 1 BASIC CALCULATOR 1.1 Getting To Knows Your Scientific Calculator Casio fx-570MS 1 1.2 Basic Calculator 2-23 2 TRIGONOMERY 2.1 Conversion degree to radian 24-26 2.2 Conversion radian to degree 27-28 2.3 Inverse Trigonometry 29-31 3 COMPLEX NUMBER 3.1 Mode Complex Number 32-33 3.2 Operation of Complex Number 34-37 3.3 Conjugate of Complex Number 38 3.4 Modulus and Argument of Complex number 39-40 TABLE OF CONTENTS No Content Page 3 COMPLEX NUMBER 3.5 Complex Number in Other Form 41-43 4 MATRICES 4.1 Mode Matrices 44-50 4.2 Operation of Matrices 51-60 4.3 Determinant Matrices and Transposition Matrices 61-68 4.4 Inverse of Matrices 69-73 5 VECTOR AND SCALAR 5.1 Mode Vector 74-79 5.2 Operation of Vector 80-88 5.3 Scalar (dot) product of two vectors 89-92 5.4 Vector (cross) product of two vectors 93-95 5.5 Magnitude of vector and Vector unit 95-101 Exercise and Quiz 102-114 References 115 v
GETTING TO KNOWS YOUR SCIENTIFIC CALCULATOR CASIO fx-570MS BASIC OPERATION KEYS FUNCTION KEYS NUMBER KEYS DISPLAY CURSOR CONTROL BUTTON MODE KEY SHIFT KEY ON KEY ALPHA KEY DELETE KEYS EQUAL KEY 1
Basic Calculator Calculators Reset BASIC CALCULATOR 2
CALCULATOR’S RESET 3
EXAMPLE: Simplify 100 120 = 5 6 SIMPLIFYING FRACTION 4
FRACTION CONVERSION OF MIXED FRACTION TO IMPROPER FRACTION CONVERSION OF IMPROPER FRACTION TO DECIMAL NUMBER Example: 1 2 3 = 5 3 Example: 7 3 =2.3333 5
Example: Solve 7 123 = 1.9886 ROOT 6
Example: Solve 8 27 − 1 3 = 3 2 POWER 7
DECIMAL PLACES Example: 2 ÷ 3 =? (Give the answer in three decimal places) ANS: . 8
Example: Find (Give the answer in two decimal places) ANS: 0.08 DECIMAL PLACES 0.123450.67 5 x 9
CALCULATOR’S RESET 10
EXAMPLE: Find value of h for the diagram below: ANS: H=5CM PYTHAGORAS THEOREM H 3 cm 4cm 11
CALCULATOR’S RESET 12
EXAMPLE: Filled in the following table for equation: ANS: CALCULATE MEMORY y x 3x 12 2 X -1 0 3 Y x -1 0 3 y -14 -12 6 13
CALCULATOR’S RESET 14
EXAMPLE: Given find B when A=4, C=5 and D=6 SOLVE FUNCTION 2 A BC D 15
CALCULATOR’S RESET 16
EXAMPLE: Calculate x and y for The following equations: ANS: X=3 & Y= - 2 SIMULTANEOUS EQUATION 5 2 4 x y x y 3 x 17
EXAMPLE: Calculate U, V and W for the following equations: ANS: U=7,V=14,W= -15 SIMULTANEOUS EQUATION 3 2 5 2 3 2 2 3 3 4 u v w u v w v w u 3 x 3 x 18
CALCULATOR’S RESET 19
EXAMPLE: Calculate x for the following equation: ANS: X=2 & X= - 6 QUADRATIC EQUATION 4 12 0 2 x x 3 x 2 x 20
CALCULATOR’S RESET 21
EXAMPLE: Solve: ANS: X=1 X= -2 X= -1 CUBIC EQUATION x 2x x 2 0 3 2 3 x 3 x 22
CALCULATOR’S RESET 23
Conversion radian to degree Inverse Trigonometry Conversion degree to radian TRIGONOMETRIC 24
CONVERSION DEGREE TO RADIAN EXAMPLE (MODE: R): Solve: 6 ° = ? RADIAN 25
DEGREE (TRIGONOMETRY ) EXAMPLE (MODE: R): ANS: 0.7071 cos 45 ? o 26
CONVERSION RADIAN TO DEGREE EXAMPLE (MODE: D): 5 RADIAN= ? ° ANS: o 286.48 27
RADIAN (TRIGONOMETRY ) EXAMPLE (MODE: D): ANS: 0 ? 2 cos 28
RADIAN (INVERSE TRIGONOMETRY ) EXAMPLE (MODE: R): ANS: 1.0471 RAD sin 0.866 ?radian 1 0.866 29
DEGREE (INVERSE TRIGONOMETRY ) EXAMPLE (MODE: D): ANS: 1 o sin 0.866 ? o 60 0.866 30
CALCULATOR’S RESET 31
Operation of complex number Conjugate of complex number Mode complex number Modulus of complex number (Absolute value) Argument of complex number Convert polar form to Cartesian form & vice versa COMPLEX NUMBERS 32
MODE OF COMPLEX NUMBER Enter the CMPLX Mode to access the text or brackets in purple. COMP CMPLX 1 2 MODE Press MODE button 1 time you will find CMPLX mode at second option, then 2 press . 33
OPERATIONS OF COMPLEX NUMBER : ADDITION OF COMPLEX NUMBER Example: Find the sum of following complex number below: 10 9i 4 i Types In the Cmplx Mode, the key become an imaginary number i, when inputting a complex number of the format x+yi ENG 14 - 8i Real part Imaginary part Answer: 10 − 9 + 4 + = 14 − 8 34
OPERATIONS OF COMPLEX NUMBER : SUBTRACTION OF COMPLEX NUMBER Example: Find the subtraction of following complex number below: (9 2i) (317i) Types In the Cmplx Mode, the key become an imaginary number, when inputting a complex number of the format x+yi ENG Real part Imaginary part -12 15i Answer: −9 − 2 − 3 − 17 = −12 + 15 35
OPERATIONS OF COMPLEX NUMBER : MULTIPLICATION OF COMPLEX NUMBER Example: Simplify each of the following expression: Types 13i 4 2i Real part Imaginary part 2 14i i i Answer: 1 − 3 −4 + 2 = 2 + 14 36
OPERATIONS OF COMPLEX NUMBER : DIVISION OF COMPLEX NUMBER Example: Simplify in the form of a+bi i i 1 2 3 5 Real part Imaginary part -1.4 2.2 -7/5 11/5 i Types i i Answer: 3+5 1−2 = − 7 5 + 11 5 37
CONJUGATE OF COMPLEX NUMBER Example: Determine the conjugate of the complex number of z 2 3i Types Real part Imaginary part 2 -3i SHIFT Conjg i Answer: ҧ= 2 − 3 38
MODULUS OF COMPLEX NUMBER (ABSOLUTE VALUE) Example: Find the modulus of the complex number of z 3 4i z 5 Answer: Abs i 5 SHIFT Types 39
ARGUMENT OF COMPLEX NUMBER Example: Find the argument of the complex number of z 3 4i 0 126.87 SHIFT Arg i Types Answer: = 126.870 40
CONVERT FORM POLAR FORM TO CARTESIAN FORM AND VICE VERSA a bi Example: Express -4+8i to the polar form: a) Cartesian form convert to Polar form: Rectangular form / Cartesian form : Polar form: r i r 8.94 modulus 116.57 r Types Answer: Polar Form : . ∠116.57 SHIFT r theta 41
Example: Express to the Cartesian form: b) Polar form convert to Cartesian form: 0 15314 SHIFT SHIFT a+bi = Answer: Cartesian Form: + . 12 Real part 2.99i Imaginary part Types 42
CALCULATOR’S RESET 43