1. Math
2. Geometry
3. use the taylor series formula for the exponential function to...

# Question: use the taylor series formula for the exponential function to...

###### Question details
• Use the Taylor series formula for the exponential function to show that
• Define and show that the map is a reflection about the x-axis.
• Show that the Euclidean length of a vector is given by
• Show that the map does not change the length of vectors.
• Explain why this map is a rotation by angle . Is it clockwise or anticlockwise?
• Explain why (where is a fixed complex number) is a translation.
• Discuss how to write a glide transformation in the complex plane.