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Quesiton:
Represent the root(s) of $\sin x=\cos x+\tan x$ as length on rectangular coordinate.

For example, if $x=2$, you represent it as "the length between $(0,0)$ and $(2,0)$".

How can I solve this?

  • 2
    Why would "the length between $(0,0)$ and $(u,0)$, where u is *a* solution to $\sin\,u=\cos\,u+\tan\,u$ not suffice?"2011-07-23
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    That's right. But I want to know the exact value of root, and I want to represent it as "length".2011-07-23
  • 0
    Generally there is no reason to expect a simple expression for a transcendental equation such as yours... but FWIW: express everything in terms of either sine or cosine, solve the resulting algebraic equation for sine or cosine, and then take the arcsine/arccosine of that...2011-07-23
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    Thanks. I asked this just for fun. I saw this problem on internet.2011-07-23

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