We will now work out the x & y coordinates of the endpoint of this arc length, point C
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1st we will calculate point C using a regression with the fundamental theorem of calculus.
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2nd method - trigonometry & Pythagoras' theorem.
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Additional: working back to get the x coordinate again.
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Expression 68: sine to the negative 1st power left parenthesis, StartRoot, left parenthesis, left parenthesis, negative 1 half plus sin squared left parenthesis, "n" plus StartFraction, pi Over 4 , EndFraction , right parenthesis , right parenthesis plus 0.5 , right parenthesis squared plus left parenthesis, 1 half StartAbsoluteValue, cos left parenthesis, 2 "n" , right parenthesis , EndAbsoluteValue , right parenthesis squared , EndRoot , right parenthesis minus StartFraction, pi Over 4 , EndFractionsin−1−12+sin2n+π4+0.52+12cos2n2−π4