Question 672584
Here is an example of a Trig function we are working on that I HAVE been able to solve, I think:
solve trig equations algrebraically;          sin^2(t)=2sin(t)+1
first set everything to zero;                 sin^2(t)-2sin(t)-1=0
then in this case I can use the foil method;  (sin(t)-1)(sin(t)-1=0
then solve for (t);                          t=4.7+l(2pi) and  t=pi-4.7i(2pi) 


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first set everything to zero;                 sin^2(t)-2sin(t)-1=0
then in this case I can use the foil method;  (sin(t)-1)(sin(t)-1=0 
(sin(t)-1)(sin(t)-1=0  
**** That doesn't factor
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Sub x for sin(t) to save typing.
{{{x^2 - 2x - 1 = 0}}}
*[invoke solve_quadratic_equation 1,-2,-1]
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Ignore the 1st solution, it's > 1 --> no real solution.
x = 1 - sqrt(2)
sin(t) =~ -0.41421
t = 204.47, 335.53 + n*360 degs, n = -,1,2,3...