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.
Not sure how to do this at all, please solve. Thank you!
Found 2 solutions by stanbon, lwsshak3:
Answer by stanbon(75887)   (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.
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If I interpret your directions properly,
tan(theta) = (x+1)/10
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theta = invtan[(x+1)/10]
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Cheers,
Stan H.
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.
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By 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:
arccsc[√(x^2+2x+101)/10]=theta
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