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d. Use the compound angle formulae to expand x1 and x2 into the form A sin 100nt + B cos 100nt, where A and B are numbers to be found. e. Using your answers from part d, express ( x1 + x2), ( 2x1 – 4x2), and ( x1 + x2)( 2x1 4x2) in a similar forms. Convert this expression into the equivalent forms of R sin(100tbt + a). f. Express the 10th term of ( x1 + x2)20 in terms of sinusoidal functions (sin, cos).

d. Use the compound angle formulae to expand x1 and x2 into the form A sin 100nt + B cos 100nt, where A and B are numbers to be found. e. Using your answers from part d, express ( x1 + x2), ( 2x1 – 4x2), and ( x1 + x2)( 2x1 4x2) in a similar forms. Convert this expression into the equivalent forms of R sin(100tbt + a). f. Express the 10th term of ( x1 + x2)20 in terms of sinusoidal functions (sin, cos).

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter7: Analytic Trigonometry
Section7.4: Basic Trigonometric Equations
Problem 2E: The basic equation sinx=2 has_________no/one/infinitely many solutions, whereas the basic equation...
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d. Use the compound angle formulae to expand x1 and x2 into the form A sin 100nt B cos 100nt, where A and B are numbers to be found. e. Using your answers from part d, express ( x1 +x2), ( 2x1 – 4x2), and ( x1 + x2)( 2x1 – 4x2) in a similar forms. Convert this expression into the equivalent forms of R sin(100nbt + a). f. Express the 10th term of ( x1 + x2)20 in terms of sinusoidal functions (sin, cos).
Transcribed Image Text:d. Use the compound angle formulae to expand x1 and x2 into the form A sin 100nt B cos 100nt, where A and B are numbers to be found. e. Using your answers from part d, express ( x1 +x2), ( 2x1 – 4x2), and ( x1 + x2)( 2x1 – 4x2) in a similar forms. Convert this expression into the equivalent forms of R sin(100nbt + a). f. Express the 10th term of ( x1 + x2)20 in terms of sinusoidal functions (sin, cos).
A support beam is subjected to vibrations along its length, emanating from two machines situated at opposite ends of the beam. The displacement caused by the vibrations can be modelled by the following equations,x1 = 3.75 sin (100nt + mm 2n X2 = 4.42 sin (100nt – ) mm
Transcribed Image Text:A support beam is subjected to vibrations along its length, emanating from two machines situated at opposite ends of the beam. The displacement caused by the vibrations can be modelled by the following equations,x1 = 3.75 sin (100nt + mm 2n X2 = 4.42 sin (100nt – ) mm
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