JEE Math Practice Question
Let m and M respectively be the minimum and the maximum values of $$f(x) = {\sin ^{ - 1}}2x + \sin 2x + {\cos ^{ - 1}}2x + \cos 2x,\,x \in \left[ {0,{\pi \over 8}} \right]$$. Then m + M is equal to :
- A.$$1 + \sqrt 2 + \pi $$
- B.$$\left( {1 + \sqrt 2 } \right)\pi $$
- C.$$\pi + \sqrt 2 $$
- D.$$1 + \pi $$
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