Trignometry

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Joined: 27 Dec 2006
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27 Dec 2006 21:10:55 IST
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Tringnometry [admin]: numerical
Engineering Entrance , JEE Main , JEE Main & Advanced , Mathematics , Trigonometry

(x tan + y cot) ( xcot +y tan) -4xycos2 2 =?



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wiz_naf's Avatar

Cool goIITian

Joined: 20 Dec 2006
Posts: 31
28 Dec 2006 13:24:51 IST
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Hi (Manju)
          Your question seems to be correct....
Is (x tan + y cot) ( xcot +y tan) -4xycot2 2 =?
          I have the answer for this one..
 
Ans .  (x+y)
        
           Please reply ....
rashmi_jain's Avatar

Forum Expert
Joined: 6 Dec 2006
Posts: 97
28 Dec 2006 23:32:35 IST
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hiiiiiii
are u sure abt the question,bcoz i htink that the last term should be   4xycosec2 2.
equation becomes:
x2+xy(tan2 + cot2)+y2-4xycosec22
=x2+y2+xy(sin4+cos4)/(sin2cos2) -4xycosec22
=x2+y2+xy(1-2sin2cos2)/(sin2cos2)-4xycosec22   (using the expansion for (sin2x+cos2x)2 )
=x2+y2-2xy+xy/sin2cos2-4xycosec22
=(x-y)2



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