Circular Functions

Circular Functions

Though I’m weak when it comes to trigonometric functions, please bear with me. 🙂

 

Sine Functions

– defined by y=six

– Domain: set of real #’s

– Range: -1 ≤ sinx ≤ 1 or [-1,1]

– always starts from the origin

– sin( x + 2pi ) = sinx

 

Cosine Functions

– defined by the equation y=cosx

– Domain: set of real #’s

– Range: -1 ≤ cosx ≤ 1 [-1,1] 

– cos( x + 2pi ) = cosx

 

Tangent Functions

– Defined by y=tanx

– Domain: set of real #’s that are not odd multiples of pi/2

– Range: set of real #’s

– curves are always separated by asymptotes

– tan (x + pi/2 or 3pi/2 ) = tanx

 

Definition of Terms

Period – The smallest length of one repeating pattern in a graph

Amplitude – half the difference between maximum and minimum

Phase shift – move graph to the left or right

Vertical shift – move graph up or down

 

A good recap of the lesson from Khanacademy.com:

http://www.khanacademy.org/math/trigonometry/v/graphing-trig-functions

http://www.khanacademy.org/math/trigonometry/v/more-trig-graphs 

 

Thank You! 🙂

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