SOLUTION: how do find an algebraic expression for csc(arcsin 10x)?

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Question 139638This question is from textbook Precalculus with limits
: how do find an algebraic expression for csc(arcsin 10x)? This question is from textbook Precalculus with limits

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
how do find an algebraic expression for csc(arcsin 10x)?
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arcsin 10x means "the angle whose sine is 10x"
You want the cosecant of that angle.
Of course the answer is 1/10x.
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Here's another way to do it.
Draw a right triangle.
Mark one of the acute angles "theta"
Let the sin(theta) be 10x by marking the side opposite theta as 10x and
the hypotenuse as "1"
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Now determine the csc(theta). It's 1/10x
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cheers,
Stan H.