Explore BrainMass

Explore BrainMass

    Trigonometry: Addition Theorems

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    Please see the attached file for the fully formatted problems.

    Deduce the addition theorems for trigonometric functions:

    cos (x ± y) = cosx cosy sinx siny;

    sin (x ± y) = sinx cosy ± cosx siny

    as the simplest consequence of the representation of a complex plane's rotational group.

    © BrainMass Inc. brainmass.com October 2, 2022, 5:42 am ad1c9bdddf


    Solution Preview

    Please see the attached file for the complete solution.
    Thanks for using BrainMass.


    It is known that a set of turnings of a pane around coordinates origin by various angles has a structure of Abel's group, where composition of consequent counterclockwise turns by angles  and ...

    Solution Summary

    Addition theorems for trigonometric functions are deduced. Trigonometric functions are analyzed. The solution is detailed and well presented.