Question 528222: 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.
I hope this drawing helps.
.........|......\
.........|.......\
(x+1)|........\
.........|.........\
.........|theta_\
............10....
Not sure how to do this at all, please solve. Thank you!
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! 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.
**
By the Pythagorean Theorem, hypotenuse of given right triangle =√[10^2+(x+1)^2]
=√[100+(x^2+2x+1)]=√(x^2+2x+101)
hypotenuse/opposite=csc theta=√(x^2+2x+101)/10
ans:
theta=arccsc[√(x^2+2x+101)/10]
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