Question

tanx+tany=2 ; 2cosx×cosy= 1 then find the vslue of x & y​

Answer 1

tanx+tany=2

(sinx/cosx)+(siny/cosy)=2

(sinxcosy+cosxsiny)/cosxcosy=2

sin (x+y)=2cosxcosy

sin (x+y)=2×1/2=1

sin (x+y)=sin90

x+y=90..........1)

2cosx×cosy= 1

cos (x+y)+cos (x-y)=1

from 1)

cos90 +cos (x-y)=1

cos (x-y)=cos0

x-y=0

x=y

put in 1)

x+x=90

2x=90

x=45

y=x=45