JEE Math Practice Question
Let M and m respectively be the maximum and minimum values of the function f(x) = tan$$-$$1 (sin x + cos x) in $$\left[ {0,{\pi \over 2}} \right]$$, then the value of tan(M $$-$$ m) is equal to :
- A.$$2 + \sqrt 3 $$
- B.$$2 - \sqrt 3 $$
- C.$$3 + 2\sqrt 2 $$
- D.$$3 - 2\sqrt 2 $$
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