SOLUTION: If f(cosx) = cotx and 0 < x < 0.2 find a formula for f(2x)

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Question 1199977: If f(cosx) = cotx and 0 < x < 0.2 find a formula for f(2x)
Answer by ikleyn(52925)   (Show Source): You can put this solution on YOUR website!
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If f(cosx) = cot(x) and 0 < x < 0.2 find a formula for f(2x)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 

In the interval  0 < x < 0.2, the cotangent function, expressed in terms of cos(x), is

    cot(x) =  = .


It means that the analytical expression for f(x) in terms of x is

    f(x) = .


Then  f(2x) =  = .


ANSWER.  If f(cosx) = cot(x) and 0 < x < 0.2, then f(2x) = .

Solved and fully explained.



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