Application should include using arithmetic, geometric, algebraic, and trigonometric operations when

selecting and sequencing operations
holding the work
producing surfaces
locating surfaces and center lines
analyzing operations and sequences
troubleshooting machine tools or cutting tools
calculating speeds and feeds
calculating operation times
calculating dimensions from a blueprint
factoring statistics required by control charts
identifying the impact of a change of speed or feed
calculating the volume of material stored
using trade formulas to prepare a process plan
performing benchwork and layout operations
operating machine tools
performing inspection and control functions
solving for unknowns in right triangles
analyzing parts for plane perpendicularity, Cartesian coordinates, concentricity, parallelism, straightness, flatness, circularity, and symmetry, with an accuracy required by the blueprint and industry standards.

What tools are available to assist machinists in their calculations?
What is a common machining task or problem that would require the machinist to apply principles of trigonometry?
How are tolerances applied to dimensions?