Mathematics · Calculus
Let M and m respectively be the maximum and minimum values of the function f(x) = tan-1(sin x + cos x) in [0, π/2]. Then the value of tan(M - m) is equal to:
- 12 + √3
- 23 + 2√2
- 33 - 2√2✓
- 42√3
Correct answer
3 - 2√2
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