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Jan 17, 2015
 #402
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+8

@@ End of Day Wrap    Sat 17/1/15     Sydney, Australia      Time 7:20pm    

 

Hi all,

 

Great answer today from Heureka, Alan, geno3141, Mathematician, CPhill, flflvm97 and Tetration.  Thank you.

 

Here is a suggestion that may help some people keep a track of the threads that they want to follow.

http://web2.0calc.com/questions/a-suggestion-for-casual-answerers

 

I also rearranged the puzzles today so they are all in one sticky topic.    

 

Interest posts:

 

1) End you day with a laugh.  Thank you Rosala, we always love your laughs  

http://web2.0calc.com/questions/end-your-day-with-a-laugh

2) Fun with numbers - Suitable for everyone  Thanks Chris.

http://web2.0calc.com/questions/fill-in-the-appropriate-operation-signs-nbsp-times-divide-radic-to-make-the-following-sentances-true

3) Log of complex number.  All too much for me.     Thanks Alan and Heureka.

 http://web2.0calc.com/questions/ln-10-75-6-98i#r3

4) What is a geometric mean.  Thanks Geno

http://web2.0calc.com/questions/what-is-geometric-mean_1

5) Using a table of values with Desmos graphing calculator.   Thanks CPhill

http://web2.0calc.com/questions/13-model-the-function-rule-y-2x-3-with-a-table-of-values-show-your-work-y-2x-3

6) A look at some Trig            Thanks to CPhill and Melody

http://web2.0calc.com/questions/i-have-solved-the-equation-2cos-theta-sin-theta-cos-theta-where-0-2-pi-and-got-the-solutions-pi-2-pi-6-but-my-math-textbook-has-p

7) Chris and I having a laugh.

http://web2.0calc.com/questions/how-do-you-write-an-equation-for-5-4-and-4-3

 

Enjoy your weekend   

 

                   ♫♪  ♪ ♫                                ♬ ♬ MELODY ♬ ♬                                 ♫♪  ♪ ♫

Jan 17, 2015
 #7
avatar+118724 
+5
Jan 17, 2015
 #6
avatar+130548 
+5
Jan 17, 2015
 #13
avatar+118724 
+5

Please take a look at this unit of work.

http://www.mathsisfun.com/geometry/unit-circle.html

 

I do not like their explanation of tan much but their explanation of sine and cosine looks really good.  

Try and understand the interactive pics properly.  

 

Basically if you draw a unit circle (a circle of radius 1 unit) centred at (0,0) then 

 

$$\\sin\theta = y \;value\\
cos\theta = x \;value\\
tan\theta= \frac{y}{x}=\frac{sin\theta}{cos\theta}$$

 

The (x,y) value that I am referring to is where the arm of the angle cuts the diametre of the unit circle.

 

The diagrams in the unit are trying to show you why this is so.  

 

The more you understand the less you have to memorise and the easier it is to move on to the next step.    

Jan 17, 2015

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