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Question

The number of point of intersection of the curve f(x)=cos1(cosx) and g(x)=20tan(tan1|x|)20 is


Solution

f(x)=cos1(cosx) and g(x)=20|x|20=1|x|20
7 point of intersection of f(x) and g(x) for x>0

Since f(x) and g(x), both are even functions (symmetric about Y-axis).
So, the total number of point of intersection = 2 × the point of intersection for x>0 =14

Mathematics

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