Apply your understanding of the graph of the sine function to explain how to develop the graph of its reciprocal. Be sure to provide accurate sketches as part of your explanation.

Answer 1

Any place your Sine or cosine graph is zero, its inverse has an asymptote, and you should draw a vertical dotted line through each. Any time your graph hits the maximum, its reciprocal hits a local minimum. And any time your sine or cosine graph has a local minimum, its reciprocal has a local maximum.

When you're first starting out, you may need to graph more points to get a smoother curve. Such as turning (30 degrees, 0.5) on the sine graph becoming (30 degrees, 2) on the Cosecant graph.