The Wave Function a cosx + b sinx R cos(x±α) or R sin(x±α)

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Presentation transcript:

The Wave Function a cosx + b sinx R cos(x±α) or R sin(x±α) What is to be learned? How to express a cosx + b sinx in the form R cos(x±α) or R sin(x±α)

Graph 1 -1 1 1 -1 1 1 -1 -1 1

√2 1 -1 -√2

General Method So and Reminder 1 Quadrant 1 because cosα and sinα both positive

Quadrant of α according to signs of cosα and sinα

Page 253 no. 2 Reminder So 1 and Quadrant 4 because cosα positive and sinα negative

Page 253 no. 7b) So and Minimum required working α in Quadrant 4 because cosα positive and sinα negative and