SOLUTION: Write an algebraic expression for {{{ cot(sin^-1(x/(x+1))) }}}
The answer is {{{ sqrt(2x+1) / x }}}
How would I set the problem up?
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-> SOLUTION: Write an algebraic expression for {{{ cot(sin^-1(x/(x+1))) }}}
The answer is {{{ sqrt(2x+1) / x }}}
How would I set the problem up?
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Question 1131114: Write an algebraic expression for
The answer is
How would I set the problem up? Found 2 solutions by stanbon, ikleyn:Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! cot(sin^-1(x/(x+1))
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If sin(t) = x/(x+1), cos(t) = sqrt[1-(x/(x+1))^2]
= sqrt[{(x+1)^2-x^2}(x+1)^2] = sqrt[(2x+1)/(x+1)^2] = sqrt(2x+1)/(x+1)
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Ans::
cot(t) = cos(t)/sin(t) = [sqrt(2x+1)/(x+1)]/[x/(x+1)] = [sqrt(2x+1)/x]
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Cheers
Stan H.
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