-26.6 Let s(x) = x – + ... and c(x) = 1– +- for x E R. -- . (a) Prove s' = c and c' (b) Prove (s? + c²)' = 0. (c) Prove s² +c² = 1.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.5: Applications
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26.6 Let s(x) = x –
and c(x) = 1- +-. for x E R.
for x € R.
-. ..
(a) Prove s' = c and c'
-s.
(b) Prove (s² +c²)' = 0.
(c) Prove s² +c² = 1.
= sin x and c(x)
Actually s(x)
facts.
= cos x, but you do not need these
Transcribed Image Text:26.6 Let s(x) = x – and c(x) = 1- +-. for x E R. for x € R. -. .. (a) Prove s' = c and c' -s. (b) Prove (s² +c²)' = 0. (c) Prove s² +c² = 1. = sin x and c(x) Actually s(x) facts. = cos x, but you do not need these
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