sqr -2 is not defined, so there is no arc sec.
In case you meant arc sec - sqr 2, then you must have 1/ cos A= -sqr 2, so cos A = -1/ sqr 2 which is -sqr 2 / 2 and so A = -pi/4. OK?
2006-12-17 06:50:48
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answer #1
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answered by gianlino 7
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first, the secant is equivalent to 1/cosx, or the length of the hypotenuse over the length of the adjacent side to the angle.
so we have to find x, when cos(x) = sqrt(2)
well, for simplicity, let the hypotenuse have a length of sqrt of 2 and the adjacent side to have a length of 1 (so that their ratio to eachother is sqr(2)) . By the pythagorean theorem, the length of the opposite also has a length of 1. Therefore, we have a right triangle with the opposite side equal to the adjacent side, giving us an angle of (pi/4) or 45 degrees.
2006-12-17 06:29:54
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answer #2
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answered by mayi o 4
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