Quandaries
and Queries 

hey my name is kerri i'm a college students and i was wondering if you could help in with this problems sin^{2}x5sinx3=0 

Hi Kerri, A great deal of algebra has to do with "pattern recognition". It's like hearing the first chord in a song and knowing who is doing it, even if you have never heard that cut before. no one else makes that sound! When you show me
I see a trinomial
To do it in a more formal way, let y = sinx then your equation is
Solve for y. (This doesn't factor so you will have to use te general quadratic.) You will get two possible values for y, a and b. Now you have
Since a and b are sine values they must be between 1 and 1. One of them is not and thus you are left with
What is x?


