MsOffice.US
Home
Excel
FrontPage
Access
Word
PowerPoint
Outlook
Visio
Project
Publisher
InfoPath
Exchange
SharePoint
Commerce
Expression
Silverlight
Management
Software
Windows

  Home  |  Excel  | FrontPage Access Word | PowerPoint  | Outlook | Visio |  Project |  Publisher  |  InfoPath | Exchange  |  SharePoint Commerce  | Silverlight Database  | Data Warehouse  |  SQL  |  OO Design SQL_ServerMYSQL | PHP  | Oracle | VBA ASP.NET  | C programming | Java  |  Photoshop | HTMLDreamweaver | Web DesignExpression Web  | XML  | Java script  |  Security | UML | Flash Silverlight |UNIX | Networking s


  Home  |  Excel  | FrontPage Access Word | PowerPoint  | Outlook | Visio |  Project |  Publisher  |  InfoPath | Exchange  |  SharePoint Commerce  | Silverlight Database  | Data Warehouse  |  SQL  |  OO Design SQL_ServerMYSQL | PHP  | Oracle | VBA ASP.NET  | C programming | Java  |  Photoshop | HTMLDreamweaver | Web DesignExpression Web  | XML  | Java script  |  Security | UML | Flash Silverlight |UNIX | Networking 

Links

www.msoffice.us

dbmanagement.info

italiankitchenrecipes.com

relationshipadvices.info

www.coptics.info

 

 

 

 

 

   

 
Home Excel Topics

Trigonometry


When solving trigonometric expressions like sine, cosine and tangent, it is very important to realize that Excel uses radians, not degrees to perform these calculations! If the angle is in degrees you must first convert it to radians.

To visually learn more about Excel, please click here.
To view all advanced complex functions, please click here

There are two easy ways to do this.

  1. Recall that p = 180°. Therefore, if the angle is in degrees, multiply it by p/180° to convert it to radians. With Excel, this conversion can be written PI( )/180. For example, to convert 45° to radians, the Excel expression would be 45*PI( )/180 which equals 0.7854 radians.
  2. Excel has a built-in function known as RADIANS(angle) where angle is the angle in degrees you wish to convert to radians. For example, the Excel expression used to convert 270° to radians would be RADIANS(270) which equals 4.712389 radians

http://phoenix.phys.clemson.edu/tutorials/excel/note.gifYou can use the DEGREES(angle) function to convert radians into degrees. For example, DEGREES(PI( ) ) equals 180.

Excel uses several built-in trig functions. Those that you will use most often are displayed in the table below. Note that the arguements for the SIN( ), COS( ) and TAN( ) functions are, by default, radians. Also, the functions ASIN( ), ACOS( ) and ATAN( ) return values in terms of radians. (When working with degrees, you will need to properly use the DEGREES( ) and RADIANS( ) functions to convert to the correct unit.)

Mathematical
Expression

Excel
Expression

Excel Examples

sine: sin(q)

SIN(number)

SIN(30) equals -0.98803, the sine of 30 radians

SIN(RADIANS(30)) equals 0.5, the sine of 30°

cosine: cos(q)

COS(number)

COS(1.5) equals 0.07074, the cosine of 1.5 radians

COS(RADIANS(1.5)) equals 0.99966, the sine of 1.5°

tangent: tan(q)

TAN(number)

TAN(2) equals -2.18504, the tangent of 2 radians

TAN(RADIANS(2)) equals 0.03492, the tangent of 2°

arcsine: sin-1(x)

ASIN(number)

ASIN(0.5) equals 0.523599 radians

DEGREES(ASIN(0.5)) equals 30°, the arcsine of 0.5

arccos: cos-1(x)

ACOS(number)

ACOS(-0.5) equals 2.09440 radians

DEGREES(ACOS(-0.5)) equals 120°, the arccosine of -0.5

arctangent: tan-1(x)

ATAN(number)

ATAN(1) equals 0.785398 radians

DEGREES(ATAN(1)) equals 45°, the arctangent of 1

Below are a few examples of problems involving trigonometry and how we used Excel to help solve them.

http://phoenix.phys.clemson.edu/tutorials/excel/one.gif

Height of a tree

Say, for instance, we want to know the height of the tree in the figure shown above. We know that if we stand 76 m from the base of the tree (x = 76 m) the line of sight to the top of the tree is 32° with respect to the horizon (q = 32°). We know that

http://phoenix.phys.clemson.edu/tutorials/excel/treeangle.gif


Solving for the height of the tree, h, we find http://phoenix.phys.clemson.edu/tutorials/excel/treeheight.gif. The screen shot below shows how we used Excel to determine that the height of the tree is 47 m.

http://phoenix.phys.clemson.edu/tutorials/excel/xltree.gif

http://phoenix.phys.clemson.edu/tutorials/excel/note.gifNote the use of the RADIANS( ) function in the above example.


http://phoenix.phys.clemson.edu/tutorials/excel/two.gif

Launch angle of a ski ramp

In this next example, we wish to know the launch angle, a, of the water ski ramp pictured above. We are given that A = 3.5 m, B = 10.2 m and b = 45.0°. To find a, we can use the Law of Sines which, in this case can be written

Law of Sines

We can rewrite this equation as http://phoenix.phys.clemson.edu/tutorials/excel/sinealpha.gif. Using the arcsine (inverse sine) we can find the angle a using the equation

Arcsine

The screen shot below shows how we used Excel to determine that the launch angle of the ramp is 14.04°.

http://phoenix.phys.clemson.edu/tutorials/excel/xlramp.gif

http://phoenix.phys.clemson.edu/tutorials/excel/note.gifNote the use of the DEGREES( ) and RADIANS( ) function in the above example.


http://phoenix.phys.clemson.edu/tutorials/excel/three.gif
In our final trigonometry example, we will use Excel to examine the trig identity

http://phoenix.phys.clemson.edu/tutorials/excel/s2c2.gif

Notice in the screen shot below that this identity holds true when q is given in radians and degrees.

http://phoenix.phys.clemson.edu/tutorials/excel/xls2c2.gif

http://phoenix.phys.clemson.edu/tutorials/excel/note.gifNote the units for the angle q are placed in different cells than the numbers. If we place the numbers and the units in the same cell, Excel will not be able to decipher the number and therefore we will not be able to reference the cells for use in any equation!

 


 

List of our Excel topics
(Excel 2003) Advance tutorials
(Excel 2003) Algebra
(Excel 2003) Analyzing external data in Excel
(Excel 2003) Analyzing Your Database
(Excel 2003) Arithmetic
(Excel 2003) Basic Actions
(Excel 2003) Basic Sort Filter
(Excel 2003) Catching data entry errors
(Excel 2003) Charting
(Excel 2003) Charts overview  
(Excel 2003) Conditional Formatting 
(Excel 2003) Constraint and References 
(Excel 2003) Copying Cells
(Excel 2003) Creating a workspace in Excel
(Excel 2003) Creating custom lists
(Excel 2003) Creating Simple Workbook
(Excel 2003) Data Subtotals 
(Excel 2003) DATA VALIDATION  
(Excel 2003) Displaying Symbols
(Excel 2003) Don't use AutoFormat on an entire worksheet
(Excel 2003) EDATE function
(Excel 2003) Ensure proper data entry with validation
(Excel 2003) Establishing Criteria
(Excel 2003) Express yourself with comments
(Excel 2003) Filtering
(Excel 2003) Filtering Database
(Excel 2003) Filters  
(Excel 2003) Format cells  
(Excel 2003) Formatting The Appearance of a Workbook
(Excel 2003) Formatting  Appearance Workbook
(Excel 2003) Functions 
(Excel 2003) Getting Random Sample
(Excel 2003) Guidelines Charting
(Excel 2003) Headers&Footers
(Excel 2003) Hiding duplicate records
(Excel 2003) Hyperlink to a specific cell
(Excel 2003) Insert Date&Time
(Excel 2003) Linear Regression
(Excel 2003) Linking Documents
(Excel 2003) Macro security settings
(Excel 2003) Macros 
(Excel 2003) new features
(Excel 2003) Opening a workbook at startup
(Excel 2003) Page Setup
(Excel 2003) Page set-up Overview 
(Excel 2003) Pivot Tables and Charts
(Excel 2003) PointerShapes
(Excel 2003) Printing
(Excel 2003) Printing overview 
(Excel 2003) Protect a worksheet  
(Excel 2003) Quickly setting a print area
(Excel 2003) Quickly shuffling toolbar buttons 
(Excel 2003) Rank Function
(Excel 2003) SOLVER  
(Excel 2003) Split  Worksheet
(Excel 2003) Statistics
(Excel 2003) Summarize data with grouping
(Excel 2003) Trigonometry
(Excel 2003) text export
(Excel 2003) Using functions for Spreadsheet solutions etc
(Excel 2003) Working PivotTable
(Excel 2003) Working with Clip Art
(Excel 2003) Working with Tables
(Excel 2003) Presentations
(Excel 2003) Step-by-Step Examples
(Excel 2007) Convert Text  Columns
(Excel 2007) Getting Random Sample
(Excel 2007) Getting started Excel
(Excel 2007) New features
(Excel 2007) Running Macros
(Excel 2007) Set Print Titles
(Excel 2007) Split  Worksheet
(Excel 2007) Presentations 
(Excel 2007) An Overview Excel
(Excel 2010) Date-Related Functions
(Excel 2010) Adding Hyperlinks
(Excel 2010) Adding Information Worksheets
(Excel 2010) AutoCorrect AutoFill AutoFit
(Excel 2010) Conditional Formatting
(Excel 2010) Data-entry tips
(Excel 2010) Details the New features
(Excel 2010) Excel (Excel 2010)  Tips Tricks
(Excel 2010) EXCEL SHORT CUTS
(Excel 2010) Formatting Cells
(Excel 2010) Getting Started
(Excel 2010) Grouping Worksheets
(Excel 2010) History Excel
(Excel 2010) IF Statements
(Excel 2010) Inserting Dates Times
(Excel 2010) Internal Rate Return
(Excel 2010) Manipulating Dates Times Text
(Excel 2010) Mastering Art Replacement
(Excel 2010) Moving Worksheets from One Workbook to Another
(Excel 2010) Operator precedence
(Excel 2010) Operator precedence
(Excel 2010) Parts of the Excel Screen
(Excel 2010) Paste Special
(Excel 2010) Smart Formatting Tricks
(Excel 2010) Spell Check
(Excel 2010) Undo Redo AutoRecover
(Excel 2010) What Is Excel Good For
(Excel 2010) What’s new
(Excel 2010) Working with Names
(Excel 2003) Creating Charts
(Excel 2003) Writing Formulas
(Excel 2007) Introduction to charts
(Excel 2003) Using Functions
(Excel 2007) Functions
(Excel 2010) Match Function
(Excel 2010) Text Functions
(Excel 2010) INDEX Function
 Excel Functions Glossary
(Excel 2010) Evaluating Investments
(Excel 2007) Sort filter
(Excel 2010) Range Names
(Excel 2003) Graphing Data Curve Fitting
(Excel 2007) Adding Picture
(Excel 2003) Basic Graphing
(Excel 2010) VBA, Macros, and Other Ways to automate Excel
(Excel 2010) Calculating Various Workbook Elements and Publishing 
(Excel 2010) Consolidating Sheets
(Excel 2010) Function Groups
(Excel 2010) Function Junction
(Excel 2010) Leveraging Excel Functions Using Excel Services
(Excel 2010) Using Excel Functions to Enhance Project Management Productivity
(Excel 2010) The SUMIF, AVERAGEIF, SUMIFS, and AVERAGEIFS Functions
(Excel 2010) The OFFSET Function
(Excel 2010) The Auditing Tool
(Excel 2010) The Goal Seek Command
(Excel 2010) Using the Scenario Manager for Sensitivity Analysis 
(Excel 2010) Financial Functions
(Excel 2010) Circular References
(Excel 2010) COUNTIF, COUNTIFS, COUNT, COUNTA, and COUNTBLANK Functions
(Excel 2010) Sensitivity Analysis with Data Tables
(Excel 2010) An Introduction to Random Variables
(Excel 2010) Analysis of Variance One-Way ANOVA
(Excel 2010) Array Formulas and Functions
(Excel 2010) Calculating an Optimal Bid
(Excel 2010) Consolidating Data
(Excel 2010) Creating Subtotals
(Excel 2010) Determining Customer Value
(Excel 2010) Absolute-relative reference problems
(Excel 2010) Estimating Straight Line Relationships
(Excel 2010) Borrowing and Investing Formulas
(Excel 2010) Forecasting in the Presence of Special Events
(Excel 2010) Examples of Formulas Using the COUNTIF Function
(Excel 2010) Importing Data from a Text File or Document
(Excel 2010) Importing Data from the Internet
(Excel 2010) Incorporating Qualitative Factors into Multiple Regression
(Excel 2010) Introduction to Monte Carlo Simulation
(Excel 2010) Introduction to Multiple Regression
(Excel 2010) Date-Related Functions
(Excel 2010) Modeling Exponential Growth
(Excel 2010) Modeling Nonlinearities and Interactions
(Excel 2010) Nonlinear Pricing
(Excel 2010) Excel Data Types
(Excel 2010) Function Procedure
(Excel 2010) Pricing Stock Options
(Excel 2010) Examples of Formulas Using the COUNTIF Function
(Excel 2010) Randomized Blocks and Two-Way ANOVA
(Excel 2010) Simulating Stock Prices and Asset Allocation Modeling
(Excel 2010) Sorting in Excel
(Excel 2010) Spin Buttons, Scroll Bars, Option Buttons, Check Boxes, Combo Boxes, and Group List Boxes
(Excel 2010) Summarizing Data by Using Descriptive Statistics
(Excel 2010) Summarizing Data by Using Histograms
(Excel 2010) Tables
(Excel 2010) The Binomial, Hypergeometric, and Negative Binomial Random Variables
(Excel 2010) Creating a Custom Number Format
(Excel 2010) The INDIRECT Function
(Excel 2010) The Normal Random Variable
(Excel 2010) The Poisson and Exponential Random Variable
(Excel 2010) The Power Curve
(Excel 2010) Using Correlations to Summarize Relationships
(Excel 2010) Using Moving Averages to Understand Time Series
(Excel 2010) Using PivotTables to Describe Data
(Excel 2010) Creating a Calculated Field or Calculated Item
(Excel 2010) Using Solver for Capital Budgeting
(Excel 2010) Using Solver for Financial Planning
(Excel 2010) Using Solver to Determine the Optimal Product Mix
(Excel 2010) Using Solver to Schedule Your Workforce
(Excel 2010) Using Solver to Solve Transportation or Distribution Problems
(Excel 2010) Validating Data
(Excel 2010) Weibull and Beta istributions: Modeling Machine Life and Duration of a Project
(Excel 2010) Winter’s Method
(Excel 2010) Excel Counting and Summing Functions
(Excel 2010) Formatting dates and times
(Excel 2010) Formula Problems and Solutions
(Excel 2010) Formulas returning an error
(Excel 2010) Miscellaneous Calculations
(Excel 2010) Mismatched parentheses
(Excel 2010) Megaformula Examples
(Excel 2010) Introducing Arrays
(Excel 2010) Pivot table terminology
(Excel 2010) Functions Used in Lookup Formulas
(Excel 2010) Project Management Establishing Project Management Fundamentals
(Excel 2010) Project Management Establishing Excel and Office 2007 SharePoint Server Fundamentals
(Excel 2010) Project Management Initiating the Project
(Excel 2010) Project Management Determining Project Requirements
(Excel 2010) Project Management Planning and Acquiring Resources
(Excel 2010) Project Management Assessing and Tracking Risk
(Excel 2010) Project Management Constructing the Project Schedule and Budget
(Excel 2010) Project Management Establishing Change Control Processes
(Excel 2010) Project Management Controlling Project Outcomes and Archiving Documents
(Excel 2010) Project Management IF Statements.
(Excel 2010) VBA Simulation Basic Tutorial
(Excel 2010) VBA Overview
(Excel 2010) VBA Programming Spreadsheets
(Excel 2010) VBA Programming Language
(Excel 2010) VBA Writing Macros
(Excel 2010) VBA QUE
(Excel 2010) Excel Function Reference
 Excel SOFTWARE SUPPORTING Excel 
(Excel 2010) Several concepts contribute to the time value of money:
(Excel 2010) The Pros and Cons of Megaformulas
(Excel 2010) Types of validation criteria you can apply
(Excel 2010) Using Assignment Expressions
(Excel 2010) Using Lookup Functions
(Excel 2010) Understanding Some Database Terminology
(Excel 2010) The Pros and Cons of Megaformulas
(Excel 2010) Using Built-In VBA Functions
(Excel 2010) Exercises
(Excel 2003) PivotTable_Feature.

 

Welcome to

MsOffice.us

This is a free website for learning and practicing all the basics of Microsoft Office 2010 training courses, online help, lessons and more...

Links

www.msoffice.us

dbmanagement.info

italiankitchenrecipes.com

relationshipadvices.info

www.coptics.info

 

 

  Home  Excel  | FrontPage Access Word | PowerPoint  | Outlook | Visio |  Project |  Publisher  |  InfoPath | Exchange  |  SharePoint Commerce  | Silverlight Database  | Data Warehouse  |  SQL  |  OO Design SQL_ServerMYSQL | PHP  | Oracle | VBA ASP.NET  | C programming | Java  |  Photoshop | HTMLDreamweaver | Web DesignExpression Web  | XML  | Java script  |  Security | UML | Flash Silverlight |UNIX | Networking 

  Home  |  Excel  | FrontPage Access Word | PowerPoint  | Outlook | Visio |  Project |  Publisher  |  InfoPath | Exchange  |  SharePoint Commerce  | Silverlight Database  | Data Warehouse  |  SQL  |  OO Design SQL_ServerMYSQL | PHP  | Oracle | VBA ASP.NET  | C programming | Java  |  Photoshop | HTMLDreamweaver | Web DesignExpression Web  | XML  | Java script  |  Security | UML | Flash Silverlight |UNIX | Networking