What is the equation of the function which is used as a guideline when sketching this graph when y=3csc1/2x

Answer 1

The function that is helpful when sketching a cosecant graph is the sine function.

1. This is due to this relationship and identity: cscθ = 1/sinθ.
2. By sketching the sine function, we can determine our asymptotes for the cosecant function wherever the graph crosses the x axis (where sinθ = 0).
3. Use the max and min values of the sine function to locate your max and min points (or turning points) of the cosecant function.

For this problem, y = 3csc(1/2 x), the sine function would be y = 3sin(1/2 x)