JEE Math Practice Question
Let fk(x) = $${1 \over k}\left( {{{\sin }^k}x + {{\cos }^k}x} \right)$$ for k = 1, 2, 3, ... Then for all x $$ \in $$ R, the value of f4(x) $$-$$ f6(x) is equal to
- A.$${1 \over 4}$$
- B.$${5 \over {12}}$$
- C.$${{ - 1} \over {12}}$$
- D.$${1 \over {12}}$$
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