and simplify further
i'm trying to work out this problem to solve for Theta...
I decided it would make sense to get all trig functions to be in terms of sec.
So after manipulating the equation i came up with...
i tried manipulating it a bit more and got...
i kind of keep going on circles with this one. is there something i'm missing? perhaps i approached this problem the wrong way?
i made this substitution, and used the quadratic formula to find possible values of x. i ignored the solution where x=-6, since we will be taking the sqrt of a negative number, and i'm not interested in non-real solutions for this problem. so, i got .
i solved for Theta and got... OR
i plugged both of these into the original equation and neither one worked!!
what did i do wrong???
you really seem to like making things hard for yourself!
Here's another way you could do it.
Express in terms of simplest trig functions, sine and cosine..
obtain a common denominator, after which the numerator must be zero...
This factors into
and one of those two factors can never be zero.