Another blog just in time.

The question of the day is ....

 How do we graph trig functions?

So sadly in trigonometry we have many different kinds of graphs.
You might have heard about my friends (and yes I have friends) SIN,COS and TAN. 
As you have battled your way through half of the year with trigonometry, I must tell you it really does not get better. (hehe my evil laugh). Well, back to trigonometry during your journey in trigonometry we have learned about the "beauties" of SIN,COS and TAN.Using their "beauty" we will combine them to learn how to graph those "beauties". 

WHOOPS.. i forgot to mention when graphing SIN, COS and TAN there is a thing called a "period". 
A period is basically the "time" that it takes for the function to make one cycle. 
For Example : 

Besides, the period there is also something called the mid line and   the Amplitude. 

For example :

Finally, we need to know the equation .
The equation will often look like this :

Y=A Sin(bx)+C
A= the Amplitude
Sin could be cos or tan ,in this case its sin. 
B= the period 
C= the mid line
Remember: you find the period by dividing 2pi by the cycle.


Lets start with my friend : SIN
- it ALWAYS starts at the origin. 

So lets say we have an equation like : 
y= 2sin(2x)+0
A= 2
B= 2
C = 0

So this graph would look like this : 

For the amplitude its suppose to be two,pardon my lack of art skills.

Now onto COS: 
- does not start at the origin but starts at the amplitude.

An equation:
Y= 4 cos(4x)+ -1

A= 4 
B= 4
C= -1

Now graph time:

Finally, its TAN. 
- Tan is a special case, it never touches the asymptotes that are each cycle.
- no Amplitude 

First off you need to know how to find the asymptotes
so basically when you find them you 
use  the four angles :
90, 180,270 ,360 . 
you can also use the negative angles. 
so basically you divide it by 360 by those angles and then like mr.schnat says " divide it by 180 and slap a pi on it. to get the asymptotes.

lets say the asymptote is 2, and 4 
then we graph it like this :

Notice it does not have a amplitude and the line are like snakes that go up on one side and down on the other. 
also they never touch the asympotes .
that concludes my blog . yay !