This is the problem:
(sec(x)tan^2(x) + sec^2(x) - sec^3(x)) / ((sec(x)-1)^2) = 1 / (1-cos(x))
One of the sec^2(x) was supposed to be a sec^3(x). I apologize for making that mistake. Thank you to whoever helps me with this.
(sec(x)tan^2(x) + sec^2(x) - sec^3(x)) / ((sec(x)-1)^2) = 1 / (1-cos(x))
One of the sec^2(x) was supposed to be a sec^3(x). I apologize for making that mistake. Thank you to whoever helps me with this.
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Darkrai64 -
For convenience, I will drop the "x":
(sectan^2 + sec^2 - sec^3) / (sec - 1)^2, now factor out sec"
sec(tan^2 + sec - sec^2) / (sec - 1)^2, but tan^2 = sec^2 - 1 so substitute:
sec(sec^2 - 1 + sec - sec^2) / (sec - 1)^2, simplify:
sec(sec - 1) / (sec - 1)^2 , simplify
sec / (sec - 1) , divide both numerator and denominator by sec:
1 / (1 - cos)
DONE!
Hope that helped
For convenience, I will drop the "x":
(sectan^2 + sec^2 - sec^3) / (sec - 1)^2, now factor out sec"
sec(tan^2 + sec - sec^2) / (sec - 1)^2, but tan^2 = sec^2 - 1 so substitute:
sec(sec^2 - 1 + sec - sec^2) / (sec - 1)^2, simplify:
sec(sec - 1) / (sec - 1)^2 , simplify
sec / (sec - 1) , divide both numerator and denominator by sec:
1 / (1 - cos)
DONE!
Hope that helped