Trying to solve long equation using Wolfram|Alpha. It doesn' t understand.

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I am trying to solve this equation: Solve[(sin(c) sec(t) (2 a b sin(c - t) + x sin(t)) + cos(c) (x - a b cos(c)))^2/a^2 + (sin(c) (x - a b cos(c)) - cos(c) (2 a b sec(t) sin(c - t) + x tan(t)))^2/(a^2 (1 - b^2)) == 1, x], using Wolfram|Alpha. I made it shorter using W|A, but when I try to solve it it says: "Wolfram|Alpha doesn't understand your query. Showing instead result for query: Solve sin"

Any help would be appreciated!

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As already commented, maybe it's too long for WolframAlpha. Not just the input but also the output, which is the following (computed in Mathematica):

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