Friday, April 18, 2014

BQ #3: Unit T: Concepts 1-3. Sin and Cosine Vs other trig functions.



Sine and Cosine:

Sine and cosine both are the only graphs that don't have asymptotes. There are just continuous graphs. The only difference with these two is that the Sine graph starts at 0 and the Cosine graph starts at 1.
 Tangent and Cotangent:

Unlike Sine and Cosine, these graphs are not continuous. They have asymptotes since they don't have 'r' as a denominator (tan=y/x and cot=x/y) The difference between these and Csc and sec is that csc and sec are more of the reciprocal of sin and cos.



                                                                                                                                   

Sec and Csc:

Secant is related to cosine in the way that it is it's reciprocal. Since it is the reciprocal, they both touch at the amplitudes, and that is in fact the only place they touch. When Cos is equal to zero though, THIS IS WHERE THE ASYMPTOTE IS!!
They are both the same values in each quadrant.




The Asymptote is located where the sin is 0. (csc=r/y) They both start at 1. 1st and 2nd quadrant are positive for both and and 3rd and 4th are negative. One period is generally 2pi just as sin and cosine.












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