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At the end of this section you should be able to:
Use right triangle trigonometry to solve right triangles
Use Law of Sines and Law of Cosines to solve scalene triangles
Solve simultaneous linear equations using substitution and elimination
Use this math review to prep for particle equilibrium problems in engineering mechanics statics. You will practice right triangle trigonometry, solve scalene triangles with the Law of Sines and Law of Cosines, and solve simultaneous linear equations using substitution and elimination, then scale up to larger systems using Mathematica.
Introductory Topics
Introductory Topics
Trigonometry
Trigonometry
Using right-triangle trigonometry to solve for legs of triangle when all angles and hypotenuse are known
Using right-triangle trigonometry to solve for legs of triangle when all angles and hypotenuse are known
Using right-triangle trigonometry to solve for hypotenuse and inside angles of triangle when legs are known
Using right-triangle trigonometry to solve for hypotenuse and inside angles of triangle when legs are known
Using right-triangle trigonometry to solve for hypotenuse and outside angle of triangle when legs are known
Using right-triangle trigonometry to solve for hypotenuse and outside angle of triangle when legs are known
Simultaneous Systems
Simultaneous Systems
Using substitution to solve system of two equations and two variables
Using substitution to solve system of two equations and two variables
Using Mathematica to solve a system of three equations and three unknowns (all unknowns in each equation)
Using Mathematica to solve a system of three equations and three unknowns (all unknowns in each equation)
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