If I am asked to find all solutions to 3 decimals of a trig function, and I know how to get each functions period, how to I get a common period so that I have the distance?

Thanks

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- December 1st 2006, 12:05 PMqbkr21Common Period
If I am asked to find all solutions to 3 decimals of a trig function, and I know how to get each functions period, how to I get a common period so that I have the distance?

Thanks - December 1st 2006, 12:15 PMtopsquark
- December 1st 2006, 12:32 PMqbkr21Re:
For instance if I had:

=

I know that has a period of

and that has a period of just

but when I writing it in terms of what I get from graphing it on my calc and then putting at the end what would be the average or how could I find the ?

I want to know how to do this for future reference...simply solving the equation won't help

Thanks so Much!!! - December 1st 2006, 12:57 PMtopsquark
I see what you're up to. In this case both of the functions (sin(3x) and cos(x)) are periodic on so any solutions will also have a period of . (See the graph below.)

If you have something like

then we have to note that both functions are periodic on so the solutions will have a period of .

-Dan