Let y = a sin x + b cos x. Use the symbolic manipulator of a computer
Question:
Let y = a sin x + b cos x.
Use the symbolic manipulator of a computer algebra system (CAS) to help you with the following:
(a) Express y as a sinusoid for the following pairs of values
(b) Conjecture another formula for y for any pair of positive integers. Try other values if necessary.
(c) Check your conjecture with a CAS.
(d) Use the following formulas for the sine or cosine of a sum or difference of two angles to confirm your conjecture.
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a For a 2 b 1 y 2 sin x cos x y sqrt5 sin x phi where phi arctan12 phi 0464 For a 1 b 2 y sin x 2 co...View the full answer
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Related Book For 
Calculus Graphical, Numerical, Algebraic
ISBN: 9780132014083
3rd Edition
Authors: Ross L. Finney, Franklin D. Demana, Bert K. Waits, Daniel Kennedy
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