Trigonometric EquationHard
Question
The function f(x) = tan-1(sinx + cosx) is an increasing function in
Options
A.

B.

C.

D.

Solution
f′(x) =
(cos x - sin x)

f(x) is increasing if

hence f(x) is increasing when x ∈
(cos x - sin x) 
f(x) is increasing if

hence f(x) is increasing when x ∈

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