APPENDIX A

USEFUL TRIGONOMETRIC IDENTITIES

A.1 BASIC IDENTITIES

A number of basic trigonometric identities that have gone into the development of the discussions in this book are presented here.

For any real numbers x and y,

image

image

image

image

By combining pairs of the above relationships, the following identities are obtained.

image

image

image

image

And, from these relationships, recalling that sin(0) = 0 and cos(0) = 1, if y = x, then

image

image

and

Then, from Eqs. A-9, A-10, and A-11, it also follows that

and

Also,

And

From Eqs. ...

Get Control and Measurement of Unintentional Electromagnetic Radiation now with the O’Reilly learning platform.

O’Reilly members experience books, live events, courses curated by job role, and more from O’Reilly and nearly 200 top publishers.