This is a one second problem !!!!!!!!!!!!!!!!

Algebra Level pending

F i n d t h e r a n g e o f t h e f o l l o w i n g f u n c t i o n : tan ( x Π ) ( x 2 3 x + 6 ) ( x 2 + 4 x + 9 ) H e r e . d e n o t e s G r e a t e s t I n t e g e r F u n c t i o n . Find\quad the\quad range\quad of\quad the\quad following\quad function:-\\ \\ \frac { \tan { \left( \left\lfloor x \right\rfloor \Pi \right) } }{ ({ x }^{ 2 }-3x+6)({ x }^{ 2 }+4x+9) } \\ \\ \bullet Here\quad \left\lfloor . \right\rfloor \quad denotes\quad Greatest\quad Integer\quad Function.

[-1,0] [1,1] {0} {-1} [1,0] {1}

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1 solution

Aditya Tiwari
Apr 23, 2015

The value of tan θ \tan { \theta } in integral multiples of Π \Pi is always ZERO. Therefore the answer is ZERO.

This was very simple. For further reference, see the graph of tan θ \tan { \theta } .

1 sec ..indEEd

Rudresh Tomar - 6 years, 1 month ago

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