## purplemouse Group Title so I need help with the steps to simplify this: csc(arctan x) I know that sqrt(x^2 +1) = sec t and x = tan t; t= arctan(x) 2 years ago 2 years ago

1. satellite73

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2. satellite73

sorry for the lousy picture, but cosecant is "hypotenuse over opposite" at least that is the simpleminded way of thinking about it

3. satellite73

you get $\frac{\sqrt{1-x^2}}{x}$ in one step after solving for the hypotenuse

4. purplemouse

ah, it was the picture I was having trouble with. Thanks!