|!¤*'~'*¤!| cнαρтεя 4 sυммαяү |!¤*'~'*¤!|

Ok Welcome to Mathland!

Today, we will be covering a summary on Chapter 4. Honestly, this chapter was quite long due to the numerous trigonometric equations we learned.

To start off, here are 14 basic trig identities:

These identities are the basis for the 12 other trig identities that encompass more difficult aspects. By using these identities, one is able to verify other identities.

The other 12 draw from these top 14^ and combine them to form angle identities.

Further below are examples each angle identity worked out.

Sum and Difference

 Double Angle Identity

 Half-Angle Identity

The bulk of Chapter 4 focused on such identities and in the following chapter 5, we will apply the Law of Sine and Cosine to these.

See you next time!~

]|I{•------» мr. υnιт cιrcle «------•}I|[

Hello and welcome again to Mathland!

This will only be a simple blog referencing to the unit circle.

This unit circle allows for one to easily locate the radians of a certain degree. 

In addition it allows for one to determine co-terminal angles as well as aid in solving trigonometric equations. Some facts about the circle are that the (x, y) coordinates correspond to (cos, sin). Also the full circle is 360 degrees. 

Moreover, the "All Students Take Calculus" acronym also apply within this.

That is all for today!

See you next time.~

ıllıllı ȚŖÏĠÖŅÖMËȚŖÏĊ ₣ŮŅĊȚÏÖŅŚ ıllıllı

Hello my dear guests of Mathland.~
I hope you are enjoying your stay so far, yes?

Today we will be conversing about Trigonometric Functions which encompass the use of triangles - usually the special triangles of 30-60-90 or 45-45-90. 

There are different names for finding the measure of each angle:

-Sine

-Cos

-Tan

or otherwise known as SOHCAHTOA.

There is also:

-Cotan

-Cosecant

-Secant

But those are only the inverses or reciprocals of the other.

However, there is an easier way of finding the measure or radians of each angle, and it is through the use of a unit circle (as shown below).

For example, if one was to ask for the cos of 45, the answer would be √2/2.

The various numbers of the angles are very diverse, similar to the bottles and deserts within the room Alice dropped in - oh you know, the drink me and eat me condiments?~

Oh well~

I do hope you enjoyed today. 

Good bye for now. Enjoy your day, ladies and gentlemen of Mathland.~

•°¯`•• verιғyιng ιdenтιтιeѕ ••´¯°•

Welcome back, dear guests on Mathland.~

Today we will be taking a tour to the singing flower garden.~ 

Along the way let me enlighten you with the intriguing steps in verifying identities.

You see, verifying identities, are not the easiest things to do and it requires time and practice to become adept at it.

There are a few rules that involve solving and verifying these trig identities:

1) You may only work on one side of the equation.

2) Choose the less complicated side to work with.

3) You may not cancel out any identities.

4)  Use the trig equations to simplify.

5) Using conjugates and factor by grouping will help significantly.

Here is just a simple and short example:

I hope this has helped you understand more about the verification of trig identities.~

And oh my, it looks like we have already arrived.  

Let us go and enjoy the singing flower garden.~

Good bye~