can u provide the actual question.
8 Answers
i think this is the actual question......
solve for x,
for which sin^3x+sin^2x+sinx=1
http://www.wolframalpha.com/input/?i=%28sinx%29^3%2B%28sinx%29^2%2Bsinx%3D1
check here- the answer is ridiculous !
sin3x+sin2x+sinx=1
(sin2x+1)(sinx+1)=2
0≤ sin2x+1≤2 and 0≤sinx+1≤2
now integral factors of 2 are not possible
therefore
sinx+1=2p and sin2x+1=21-p
where p=[0,1]
hence
x=k(pi)+(-1)karcsin(2p-1) and x=l(pi)±arcsin(21-p-1)
where k,l are integers and p=[0,1]
i am sorry but this isnt completely correct cause we have a lot of other combinations of prime nos ....anyone else trying?
I think you should check the question once. Though in this case we shall get a single value of sin x, however that is not very pretty and I had to solve the cubic in order to get that value.