Yeah, I think I've got it. Thanks all. Like I said I did this last year and don't remember much of it. I'm transfering to another college and these ingrates don't want to take my calc I + II credits because they gave me some dumb spiel about their college's math department is top notch. They are a state college and wont take calc credits from a private engineering university but will take calc credits from the local community college. How dumb is that?
Anyways I'm trying to take this test so I can skip at leat calc I. It's slowly starting to return to me THANKS!
That's a real simple problem. Just draw your triangle..since it's asking for sin(x)..
Draw a right triangle, have theta be one of the angles, and since it's sin..x represents the side opposite to the angle, and since x = x/1, 1 represents the hypotenuse, and the adjacent side would then equal sqrt(1-x^2)..through Pythagorean's theorem.
Then, all you have to take is the tangent of that, which means y/x, or x / sqrt(1-x^2)
That's your triangle..that's what arcsin(x/1) looks like. Since it's sine, you know that the angle theta is opposite over hyptonuse, or in this case, x/1..so the side opposite to theta is x, and the hypotonuse is 1.
From there, we can derive the adjacent side as being sqrt(1-x^2) through Pythagorean's theorem.
Then finally, since we want to find tan(arcsin(x/1)), we take the tangent of the triangle..which is opposite over adjacent..or in this case, x/sqrt(1-x^2)
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