BQ #5
Why do sine and cosine NOT have asymptotes, but the other four trig graphs do? Use unit circle ratios to explain.
Asymptotes only occur when it is undefined. What that means is the answer from a trig ration product has to be undefined. Zero must be in the denominator. The trig ratio for sine is y/r , cosine is x/r , cosecant is r/y , secant is r/x , tangent is y/x , cotangent is x/y. ZERO HAS TO BE IN THE DENOMINATOR FOR THE ANSWER TO BE UNDEFINED. the only trig functions that produce a undefined answer are all but sine and cosine. Sine is y/r and r=1 therfore there cannot be an undefined answer. Cosine is x/r and r=1, again it cannot be undefined. Cosecant is r/y and y can be 0 on a certian place on the unit circle so it can be defined. The same for secant with x in the bottom. Tangent with x in the bottom and cotangent with y in the bottom.
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