jee-main 2014 Q67

jee-main · India · 06apr Reciprocal Trig & Identities

Let $f _ { k } ( x ) = \frac { 1 } { k } \left( \sin ^ { k } x + \cos ^ { k } x \right)$ where $x \in R$ and $k \geq 1$. Then $f _ { 4 } ( x ) - f _ { 6 } ( x )$ equals
(1) $\frac { 1 } { 4 }$
(2) $\frac { 1 } { 12 }$
(3) $\frac { 1 } { 6 }$
(4) $\frac { 1 } { 3 }$

Let $f _ { k } ( x ) = \frac { 1 } { k } \left( \sin ^ { k } x + \cos ^ { k } x \right)$ where $x \in R$ and $k \geq 1$. Then $f _ { 4 } ( x ) - f _ { 6 } ( x )$ equals\\
(1) $\frac { 1 } { 4 }$\\
(2) $\frac { 1 } { 12 }$\\
(3) $\frac { 1 } { 6 }$\\
(4) $\frac { 1 } { 3 }$

Paper Questions

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