I. Certain functions are explicitly defined. Perform the indicated operations. 1. For the function f(x) = sin x. Show with the aid of the elementary formula. 1 sin? A = 1 (1 - cos 2A) That f (x + y) -f (x) = cos x sin y – 2 sin x sin? %3D

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.5: The Kernel And Range Of A Linear Transformation
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I.
Certain functions are explicitly defined. Perform the indicated
operations.
1. For the function f (x) = sin x. Show with the aid of the elementary
formula.
1
1
(1-
sin? A =
- cos 2A)
That
f (x + y) – f (x) = cos x sin y – 2 sin x sin?
2
Transcribed Image Text:I. Certain functions are explicitly defined. Perform the indicated operations. 1. For the function f (x) = sin x. Show with the aid of the elementary formula. 1 1 (1- sin? A = - cos 2A) That f (x + y) – f (x) = cos x sin y – 2 sin x sin? 2
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