Question 528213
Use an inverse trigonometric function to write theta as a function of x. There is a sketch of a right triangle with 10 as the opposite side, (x+1) as the adjacent, and theta as the hypotnuse/opposite angle.
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By Pythagorean Theorem, hypotenuse of given right triangle =&#8730;[10^2+(x+1)^2]
=&#8730;[100+(x^2+2x+1)]=&#8730;(x^2+2x+101)
hypotenuse/opposite=csc theta=&#8730;(x^2+2x+101)/10
ans:
arccsc[&#8730;(x^2+2x+101)/10]=theta