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Trinometry question [solved]

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abhas
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PostSubject: Trinometry question [solved] Wed Aug 27, 2008 6:41 pm

if 0<=x<=3pie , 0<=y<=3pie and cos x. sin y=1 the possible number.of ordered pair of (x,y) is
cos x=cosecy







-1<=cosx<=1 -1>=cosec y>=1







equality exists only when cosx=1,-1 and cosecy=1,-1







x=0,pi,2pi,3pi and y=pi/2,3pi/2,5pi/2







no of pairs(x,y)=3*4=12 WRONG anS
------------------------
SOLNS EXIST WEN cosx =1 and cosecy=1 ie x=0,2pi y=pi/2,5pi/2 =>4solns
and
wen
cosx =-1 and cosecy=-1 ie x=pi,3pi y=3pi/2 =>2 solns
in total 6 ans
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Complete IIT AIEEE ICSE ISC PMT help forum :: ISC :: ISC 2011 [Class xi] :: Maths-