の) cos(0) sin(0) Let 0 and ø be real numbers, and let A and B be the matrices A = and - sin(0) cos(0) cos(4) sin(ø) B = - sin(ø) cos(4). sin(0+ø) cos(0+ 6) (- sin(0 + ¢) cos(0+ 4) Show that AB = You may use the identities below. (You don't need to use all of them.) sin(o + 0) = sin($) cos(0) ± cos(4) sin(0), cos(ø+ 0) = cos(4) cos(0) + sin(ø) sin(0), 2 cos(0) cos(4) = cos(0 – 4) + cos(0+ ¢), 2 sin(0) sin(ø) = cos(0 – ø) – cos(0 + ¢), 2 sin(0) cos(4) = sin(0 + ¢) + sin(0 – ¢), 2 cos(0) sin(ø) = sin(0 + ø) – sin(0 – ø).

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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の)
cos(0)
sin(0)
Let 0 and ø be real numbers, and let A and B be the matrices A =
and
- sin(0) cos(0)
cos(4)
sin(ø)
B =
- sin(ø) cos(4).
sin(0+ø)
cos(0+ 6)
(- sin(0 + ¢) cos(0+ 4)
Show that AB =
You may use the identities below. (You don't need to use all of them.)
sin(o + 0) = sin($) cos(0) ± cos(4) sin(0), cos(ø+ 0) = cos(4) cos(0) + sin(ø) sin(0),
2 cos(0) cos(4) = cos(0 – 4) + cos(0+ ¢), 2 sin(0) sin(ø) = cos(0 – ø) – cos(0 + ¢),
2 sin(0) cos(4) = sin(0 + ¢) + sin(0 – ¢), 2 cos(0) sin(ø) = sin(0 + ø) – sin(0 – ø).
Transcribed Image Text:の) cos(0) sin(0) Let 0 and ø be real numbers, and let A and B be the matrices A = and - sin(0) cos(0) cos(4) sin(ø) B = - sin(ø) cos(4). sin(0+ø) cos(0+ 6) (- sin(0 + ¢) cos(0+ 4) Show that AB = You may use the identities below. (You don't need to use all of them.) sin(o + 0) = sin($) cos(0) ± cos(4) sin(0), cos(ø+ 0) = cos(4) cos(0) + sin(ø) sin(0), 2 cos(0) cos(4) = cos(0 – 4) + cos(0+ ¢), 2 sin(0) sin(ø) = cos(0 – ø) – cos(0 + ¢), 2 sin(0) cos(4) = sin(0 + ¢) + sin(0 – ¢), 2 cos(0) sin(ø) = sin(0 + ø) – sin(0 – ø).
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