How to Troubleshoot Microsoft Word 2007?

There are numerous useful features of Word 2007 that help us create and edit our documents with ease. We can also connect to the internet and download template documents, clip art etc as well as use online dictionary or thesaurus. We can download images, photos etc from the official website of Microsoft Office. Downloading template documents like resume or cover letters can save us a lot of time needed to create them. Other than the many beneficial features of Word 2007, there is the built-in troubleshooting tool that allows us to fix the many problems that may come in our way while using Word 2007. It is very easy to use the tool that enables us to troubleshoot Microsoft Word 2007. The tool used to troubleshoot Microsoft Word 2007 is called the Microsoft Office Diagnostics tool. Follow these easy steps to troubleshoot Microsoft word 2007 using the Microsoft Office Diagnostic tool:

Open the Microsoft Office Diagnostics tool from the Microsoft Office folder.

Windows Vista or 7
(a)  Type Microsoft Office in the search box on the start menu.
(b)  You will be able to get the Microsoft Office Diagnostics tool among the search results.
(c)  Click on Microsoft Office diagnostics tool.

Windows XP or other older editions
(a)  Click on the Start button.
(b)  Go to Programs
(c)  Select Microsoft Office > Microsoft Office Tools > Microsoft Office  Diagnostics.
(d)  Click on Microsoft Office Diagnostics tool.

The Microsoft Office Diagnostics dialog box will appear. Click on the Continue button.

Click on the "Run Diagnostics" button. (In case you have used this tool before, you will see the "Run Diagnostics Again" button. Click on that button.

 

Microsoft Office Diagnostics tool will start diagnosing if there is any issue related to Word 2007. You will have to wait about 5 to 15 minutes for this process to complete. This time will depend upon the speed of the computer as well as the problems faced by the Microsoft Office files. If it finds any issues, the tool will try to resolve them on its own. 

The built-in tool used to troubleshoot Microsoft Word 2007, the "Microsoft Office Diagnostics", starts self-repairing if there are any issues related to the Microsoft Office programs on the computer. It runs 6 unique checks on the computer to resolve any problems. 

According to the issue found, the tool to troubleshoot Microsoft Word 2007 might refer the user to get further help from online forums or prompt him to reinstall Microsoft Office using the installation CD. If no cause is found after running the diagnosis tool, it is probable that Word 2007 is affected by a Window-related issue instead of an Office 2007 problem.

Trigonometric Methods

2

Trigonometric Methods

 

CONTENTS

2.1       Sinusoidal functions

2.1.2    Review of the trigonometric ratios

2.1.3    Cartesian and polar co-ordinate systems

2.1.4    Properties of the circle

2.1.5    Radian measure

2.1.6    Sinusoidal functions

2.2       Applications

2.2.1    Angular velocity

2.2.2    Angular acceleration

2.2.3    Centripetal force

2.2.4    Frequency , amplitude,  phase

2.2.5        The production of complex waveforms using sinusoidal graphical synthesis

2.2.6    AC waveforms and phase shift

2.3      Trigonometric identities

2.3.1        Relationship between trigonometric and hyperbolic identities

2.3.2        Double angle and compound angle formulae and the conversion of products to sums and differences

2.3.3        Use of trigonometric identities to solve trigonometric equations and simplify trigonometric expressions

2.1Sinusoidal functions

Why is the study of Sinusoidal Waveforms important?

Sinusoidal waveforms are of special interest for a number of reasons:

n  it is a natural form occurring in an oscillator circuit; also the form of voltage induced in a turn (coil) of wire rotated in a magnetic field, ie. a generator

n  it is the form of voltage used for both distribution of electricity and for communications

n  all periodic waveforms can be represented as a series of sine waves using Fourier analysis.

Example: Coil rotating in a magnetic field. Induced voltage and resulting current in a coil
rotating in a magnetic field is sinusoidal. Fig 2.1 shows how the brushes are arranged so that the voltage induced between the two terminals of a rotating coil in a magnetic field is tapped. Arrangement in Fig 2.1 (top) gives an alternating current (AC) output and Fig 2.1 (bottom) shows how a direct current (DC) output is obtained.

Fig. 2.1 Induced voltage and resulting current in a coil rotating in a magnetic field is sinusoidal

We can also express a sinusoidal function using cosine function rather than the sine function itself. The functions are related by the identity

 

Sinusoidal Waveform, v(t) =                         :

Fig 2.2 shows the waveform. Following definitions are important.

V_m is the peak value

ω is the angular frequency in radians per second

θ is the phase angle

T is the period

 

Fig. 2.2 Sinusoidal waveform, v(t) =

Review of the trigonometric ratios:

c

b

a

C

B

A

Following figure shows a right-angle triangle ABC. Recall the trigon ometrc ratios

                                                                                                  

                                                                                           

                                                                                                  

                                                                                         

Hence we have

From Pythagora’s theorem,  Therefore, we have the following trigonometric identity

Note that this identity holds for any angle, A. Following trigonometric identities are mentioned without proof. Note that these identities are true for angles of any size.

These trigonometric identities can be used to solve trigonometric equations and simplify trigonometric expressions.

Use the above trigonometric identities to show the results in the following table.