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background image

24

[DEG mode]

<Example>

Operation

Display

θ

= sin

-1

b
a

θ

= cos

-1

c
a

θ

= tan

-1

b
c

c

a

b

θ

100

80

Arc Trigonometric Functions

Arc trigonometric functions, the inverse of trigonomet-
ric functions, are used to determine an angle from ratios
of a right triangle. The combinations of the three sides
are sin

-1

, cos

-1

, and tan

-1

. Their relations are;

(arc sine) Determines an angle based on the ratio
b/a of two sides of a right triangle.

(arc cosine) Determines an angle based on the ratio
c/a for two sides of a right triangle.

(arc tangent) Determines an angle based on the
ratio b/c for two sides of a right triangle.

At what angle should an airplane climb in order
to climb 80 meters in

1

00 meters?

Guide Book̲EL-W531 07.2.5 2:48 PM ページ 24

SHARP

SHARP

© Sharp Corporation

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Содержание WriteView EL-W531

Страница 1: ...S SCIENTIFIC CIENTIFIC CALCULATOR ALCULATOR OPERATION PERATION GUIDE UIDE SCIENTIFIC CALCULATOR OPERATION GUIDE Write View SHARP ...

Страница 2: ...ions 16 Time calculation 17 Fractional calculations 18 Memory calculations 19 Last answer memory 20 User defined functions 21 Absolute value 22 Trigonometric functions 23 Arc trigonometric functions 24 Hyperbolic functions 25 Coordinate conversion 26 Binary pental octal decimal and hexadecimal operations N base 27 Key layout 2 Reset switch Display pattern 3 Display format and decimal setting funct...

Страница 3: ...ponential regression calculation 2nd function ALPHA keys Pressing these keys will enable the functions written in orange 2nd F or green ALPHA above the calculator buttons This calculator can operate in three different modes as follows Normal mode Mode 0 normal mode for performing normal arithmetic and function calculations ON C OFF key Direct function Power on Power off 2nd function Written in ora...

Страница 4: ...hown in the lower left part of the display Format Indicator Note If more 0 s zeros than needed are displayed when the ON C key is pressed check Floating decimal point format 1 2 N1 N2 is displayed Valid values beyond the maximum range are displayed in the form of 10 digit mantissa 2 digit exponent Fixed decimal point format FIX is displayed Displays the fractional part of the calculation result ac...

Страница 5: ...ic calculations but entering the zeros one by one is a great deal of work and it s easy to make mistakes In such cases the numerical values are divided into mantissa and exponent portions displayed and calculated What is the number of electrons flowing in a conductor when the electrical charge across a given cross section is 0 32 cou lombs The charge on a single electron 1 6 x 10 19 coulombs SHARP...

Страница 6: ...s shown at the top of the display Radians are different from degrees and express angles based on the circumfer ence of a circle 180 is equivalent to π radians Therefore the angular mea sure of a circle is 2π radians Grads GRAD is shown at the top of the display Grads are a unit of angular measure used in Europe particularly in France An angle of 90 degrees is equivalent to 100 grads The relationsh...

Страница 7: ...r ANS and statistics Values stored in memory in normal mode are not erased These arrow keys are useful for Multi Line playback which lets you scroll through calculation steps one by one Turns the calculator off These keys are useful for editing equations The key moves the cursor to the left and the key moves the cursor to the right The key deletes the symbol number at the left of the cursor and th...

Страница 8: ... how many kilometers will it travel in a year Circumference equals diameter x π therefore 1 496 x 108 x 2 x π The average distance between the earth and the sun being 1 496 x 108 km Pressing π automatically enters the value for π 3 14159 The constant π used frequently in function calculations is the ratio of the circumference of a circle to its diameter Enters the minus symbol The subtraction key ...

Страница 9: ...r press Random Integer An integer between 0 and 99 can be generated randomly by pressing To generate the next random integer press Generates random numbers Random numbers are three decimal place values between 0 000 and 0 999 Using this function enables the user to obtain unbiased sampling data derived from random values generated by the calculator Using line mode is preferable since in W View mod...

Страница 10: ... that which appears on the display By using this function internal calculations will be performed using only the displayed value FIX mode TAB 1 normal calculation Rounded calculation MDF internally 0 5555 internally 0 5555 internally 0 6 APPLICATIONS Frequently used in scientific and technical fields as well as business when performing chained calculations In W View mode press to show the answer i...

Страница 11: ...sion Used to specify calculations in which certain operations have precedence You can make addition and subtraction operations have precedence over multiplication and division by enclosing them in parentheses Finds the result in the same way as a standard calculator Basic Arithmetic Keys Parentheses SHARP SHARP Sharp Corporation ...

Страница 12: ... 125 5 For calculating percentages Four methods of calculating percentages are presented as follows 1 125 increased by 10 137 5 2 125 reduced by 20 100 3 15 of 125 18 75 4 When 125 equals 5 of X X equals 2500 SHARP Sharp Corporation ...

Страница 13: ...2 4 Calculates the inverse of the value on the display Squares the value on the display Cubes the value on the display Calculates exponential values Calculates the square root of the value on the display Calculates the cube root of the value on the display Calculates the xth root of y SHARP SHARP Sharp Corporation ...

Страница 14: ...mon Logarithm Logarithm of x to Base a Calculates the value of 10 raised to the xth power Calculates the logarithm the exponent of the power to which 10 must be raised to equal the given value Calculates the logarithm of x to power a 3 45 SHARP Sharp Corporation ...

Страница 15: ...o the Power of x Natural Logarithm Calculates powers based on the constant e 2 718281828 Computes the value of the natural logarithm the exponent of the power to which e must be raised to equal the given value SHARP SHARP Sharp Corporation ...

Страница 16: ...iplied by all the lesser positive integers from 1 to n 1 is indicated by n and called the factorial of n c f n 1 x 2 x 3 x xn APPLICATIONS Used in statistics and mathematics In statistics this function is used in calculations involving combinations and permutations SHARP Sharp Corporation ...

Страница 17: ...ion equation is 3 P3 3 x 2 x 1 6 ways This function finds the number of ways of selecting r objects from a set of n objects For example from the three letters ABC there are three ways we can extract groups of two different letters AB AC and CB The calculation equation is 3 C2 APPLICATIONS Used in statistics probability calculations and in simulation hypotheses in fields such as medicine pharmaceut...

Страница 18: ... seconds Convert 24 28 35 24 degrees 28 minutes 35 seconds to decimal notation Then convert 24 476 to sexagesimal notation Inputs values in sexagesimal notation degrees minutes seconds Convert to decimal notation Repeat last key operation to return to the previous display APPLICATIONS Used in calculations of angles and angular velocity in physics and latitude and longitude in geography SHARP Sharp...

Страница 19: ...ction 1 2 5 7 Add 3 and and convert to decimal notation Convert to an improper fraction Convert to decimal notation APPLICATIONS There is a wide variety of applications for this function because fractions are such a basic part of mathematics This function is useful for calculations involving electrical circuit resistance 3 1 2 SHARP SHARP Sharp Corporation ...

Страница 20: ...110 26510 2750 Memory Calculations Stores displayed values in memories A F X Y M Recalls values stored in A F X Y M Temporary memories Independent memory Adds the displayed value to the value in the independent memory M Subtracts the displayed value from the value in the independent memory M 0 Enter 0 for M SHARP Sharp Corporation ...

Страница 21: ...Example y 4 x and x 2 3 Operation Display 2 3 4 Last Answer Memory Automatically recalls the last answer calculated by pressing Solve for x first and then solve for y using x SHARP SHARP Sharp Corporation ...

Страница 22: ...ns Recall a function that was defined by the user APPLICATIONS Functions that you have previously defined including those using common 2nd Function buttons can be stored in D1 D4 for later use thus saving time on keystrokes 26 SHARP Sharp Corporation ...

Страница 23: ...22 Example Operation Absolute Value Returns an absolute value Display 3 4 SHARP SHARP Sharp Corporation ...

Страница 24: ...of an angle Calculates the tangent of an angle The angle from a point 15 meters from a building to the highest floor of the building is 45 How tall is the building 45 15 1 5 View point APPLICATIONS Trigonometric functions are useful in mathematics and various engineering calculations They are often used in astronomical observations civil engi neering and in calculations involving electrical circui...

Страница 25: ...e combinations of the three sides are sin 1 cos 1 and tan 1 Their relations are arc sine Determines an angle based on the ratio b a of two sides of a right triangle arc cosine Determines an angle based on the ratio c a for two sides of a right triangle arc tangent Determines an angle based on the ratio b c for two sides of a right triangle At what angle should an airplane climb in order to climb 8...

Страница 26: ...natural exponents in trigo nometric functions Arc hyperbolic functions are defined by using natural logarithms in trigono metric functions APPLICATIONS Hyperbolic and arc hyperbolic functions are very useful in electrical engineering and physics SHARP Sharp Corporation ...

Страница 27: ...tes x y r θ Converts polar coordinates to rectangular coordinates r x y Splits data used for dual variable data input Determine the polar coordinates r when the rectangu lar coordinates of Point P are x 7 y 3 θ APPLICATIONS Coordinate conversion is often used in mathematics and engineering espe cially for impedance calculations in electronics and electrical engineering SHARP SHARP Sharp Corporatio...

Страница 28: ...ator can carry out the logical operations AND OR NOT NEG XOR and XNOR on binary pental octal and hexadecimal numbers Conversion is performed on the displayed value when these keys are pressed Operation Display Example 1 HEX 1AC BIN PEN OCT DEC 1011 AND 101 BIN DEC Example 2 Operation Display 1AC 1011 101 Converts to the binary system BIN appears Converts to the pental system PEN appears Converts t...

Страница 29: ...es of an event Though primarily used for engineering and mathematics the function is also applied to nearly all other fields including economics and medicine DATA INPUT AND CORRECTION Enters data for statistical calculations Splits data used for dual variable data input Used for dual variable statistical calculations Here is a table of examination results Input this data for analysis Clears data i...

Страница 30: ...the second power NOTE 1 Sample data refers to data selected randomly from the population 2 Standard deviation of samples is determined by the sample data shift from an average value 3 Standard deviation for the population is standard deviation when the sample data is deemed a population full data Let s check the results based on the previous data ANS KEYS FOR 1 VARIABLE STATISTICS 69 average value...

Страница 31: ...displayed with X Y or F n is the sequential number of the data set Display the data item to modify input the correct value then press Using you can correct the values of the data set all at once When or appears more data items can be browsed by pressing or To delete a data set display an item of the data set to delete then press The data set will be deleted To add a new data set press and input th...

Страница 32: ...tistical calculations are used in a broad range of fields including engineering business and economics They are most often applied to analysis in atmospheric observations and physics experiments as well as for quality control in factories SHARP Sharp Corporation ...

Страница 33: ...for March in that same area Determine basic statistical quantities for data X and data Y based on the data table Select dual variable statistics mode and linear regression calculation in sub mode 1998 1999 2000 2001 2002 2003 2004 2005 6 2 7 0 6 8 8 7 7 9 6 5 6 1 8 2 13 9 11 5 7 12 15 7 Year x Average temperature y Date blossoms bloom SHARP SHARP Sharp Corporation ...

Страница 34: ...ata sample data y raised to the second power Calculates the average value of the data sample data y Calculates the standard deviation for the data sample data y Calculates the standard deviation of a data population sample data y 7 175 Average for data x 0 973579551 Standard deviation for data x 0 91070028 Standard deviation of the population for data x 9 875 Average for data y 3 440826313 Standar...

Страница 35: ... SHARP CORP MAR 07 SHARP ...

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