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Mth 164
Your 'question form' report has been received. Scroll down through the document to see any comments I might have inserted, and my final comment at the end.
** Question Form_labelMessages **
Question
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I am having trouble solving this problem. Could you give me a little bit of help. Show that Tan(cos^-1(x)) = Sqrt(x / (1- x^2)) Me and a past teach tried to solve it and could figure it out.
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I am having trouble solving this problem. Could you give me a little bit of help. Show that Tan(cos^-1(x)) = Sqrt(x / (1- x^2)) Me and a past teach tried to solve it and could figure it out.
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I am having trouble solving this problem. Could you give me a little bit of help. Show that Tan(cos^-1(x)) = Sqrt(x / (1- x^2)) Me and a past teach tried to solve it and could figure it out.
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cos^-1(x) is the angle whose cosine is x.
You can construct a triangle having this angle by letting the hypotenuse equal 1 with the side adjacent the angle equal to x.
If the adjacent side is x and the hypotenuse is 1, what is the remaining side of the triangle, and what is the hypotenuse of the angle?
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Alternatively, using the unit-circle picture, the x component would be just x and the hypotenuse would be 1. You can find the y component, which would then allow you to easily find the tangent of the angle.
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Let me know if you have problems getting this to work out.
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