Unit T Bigi Question #4

Sine and cosine don’t have asymptotes but the other trig functions do because cosine is x/r which is x/1 and whenever a number is imputed as x it will have a value. If it were 0 the answer would be 0. This is the same thing for sine which is y/r or y/1 and why they don’t have asymptotes. Sec and csc in the other hand do have asymptotes because sec is 1/cos and whenever cosine is 0 then it is undefined which makes it an asymptote. With csc it is 1/sin and whenever sine is 0 the answer would also have an asymptote. For tangent it equals sin/cos and whenever cosine is 0 then the answer would be undefined (asymptote). With cotangent it is cosine/sine and whenever sine is 0 it will also be an asymptote and why sine and cosine aren’t asymptotes but the other 4 trig functions are.