Trigonometric EquationHard
Question
If f(x) = 2tan-1x + sin-1 
, x > 1, then f(5) is equal to
, x > 1, then f(5) is equal toOptions
A.
B.tan-1
C.4 tan-1(5)
D.π
Solution
2tan-1x + sin-1sin(2tan-1x)
2tan-1x + π − 2tan-1x
= π
2tan-1x + π − 2tan-1x
= π
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