2. In this problem, you will prove the sin and cos sum formulas in two ways. sin(a + b) = sin a cos b + cos a sin b cos(a + b) = cos a cos b – sin a sin b • Use Euler's formula: e’a = cos a + i sin a to prove the formulas. • Use the rotation matrix Ro from last term and the fact that the matrix of a com- position of two linear transformations is the product of their respective matrices. (therefore R9R,: = Ro+v)

2. In this problem, you will prove the sin and cos sum formulas in two ways. sin(a + b) = sin a cos b + cos a sin b cos(a + b) = cos a cos b – sin a sin b • Use Euler's formula: e’a = cos a + i sin a to prove the formulas. • Use the rotation matrix Ro from last term and the fact that the matrix of a com- position of two linear transformations is the product of their respective matrices. (therefore R9R,: = Ro+v)

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.2: Direct Methods For Solving Linear Systems

Problem 3CEXP

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