Math 1202: Pre-Calculus Unit 2 Study Guide

. Force is pushing, pulling, compressing, distorting, or changing the state ormotion of a body.c. Magnitude is a scalar quantity that has the property of size and can befully described by a number.d. A vector shows the direction and the magnitude of a force.e. The resultant is the sum of two or more vectors.6. When given the two forces, be able to find the resultant and the magnitude. Theresultant force is represented by the diagonal of the parallelogram formed by theforces. The magnitude is the length of the resultant.7. When given the resultant, find the vertical and horizontal components. If isthe resultant and is the angle formed by the horizontal component and theresultant, then (horizontal component) = cos and(vertical component) = sin .8. Be able to use the Law of Cosines to find unknown sides or angles in triangles:a. a 2 = b 2 + c 2 – 2bc cos Ab. b 2 = c 2 + a 2 – 2ca cos Bc. c 2 = a 2 + b 2 – 2ab cos C9. Know how to use the Law of Sines to find unknown sides or angles in triangles:sin A sin B sin C= =a b c10. Be able to solve application problems using trigonometric functions, the Law ofSines, and the Law of Cosines. Review the steps used to solve these problems:a. Draw a diagram illustrating the problem.b. Decide which process to use (trigonometric functions, Law of Sines, orLaw of Cosines).c. Set up the equation.d. Solve the equation.11. Know how to solve application problems that involve inclined planes and forcesusing trigonometric functions and vectors.12. Understand navigation vocabulary and be able to solve problems that contain thisvocabulary:a. Air speed is the speed of an airplane in still air.b. Course is the direction of an airplane's flight path.c. Force is pushing, pulling, compressing, distorting, or otherwise changingthe state or motion of a body.d. Grade is the slope or the vertical distance divided by horizontal distance.e. Ground speed is the speed of an airplane relative to the ground or waterover which it flies.f. Heading is the direction in which an airplane is pointed.g. Head wind is a wind that blows in the direction opposite that of anairplane's flight.