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Trigonometry question ?
How do you tell the difference between sin,cos,tan,sec,csc,and coy graphs? Like explain using asymptotes and specific point cus i’m so confused
1 Answer
- ?Lv 71 month ago
All trig functions are periodic. Sine and cosine are bounded. Their absolute value is ≤ 1. Sine and cosine do not have asymptotes. They differ in phase. The locations of their roots differ. Refer to the unit circle for values. The other common trig functions have either sine or cosine in the denominator. Where the parent function has a root, the child function has a vertical asymptote.
Knowing the values from the unit circle and the definitions of other trig functions, you can generate a table of values and hence a set of graphs.
Let’s look at one function as an example. tangent = sine/cosine. When sine is zero, tangent is zero. When cosine is zero, tangent has a vertical asymptote. When sine and cosine are equal, tangent is one. When sine and cosune are equal but with opposite signs, tangent is minus one.