`Delta ABC ` में सिद्ध कीजिए कि `:`
`a sec A + b sec B + c sec C= a sec A tan B tan C `

Show that the coordinates of the orthocentre of DeltaABC is : ((x_1 a sec A + x_2 b sec B + x_3 c sec C)/(a sec A + b sec B + c sec A)), (y_1 a sec A + y_2 b sec B + y_3 c sec C)/(a sec A + b sec B + c sec C))

If (tan A + sec A) (tan B + sec B) (tan C + sec C) = (tan A -sec A) (tan B -secB) (sec C-tan C),show that each side is equal to +-1

If a sec a-c tan a=d and b sec a+d tan a=c then

(sec A sec B+tan A tan B)^(2)-(sec A tan B+tan A sec B)^(2)=1

(sec A sec B+tan A tan B)^(2)-(sec A tan B+tan A sec B)^(2)=1

If cosec A + sec A = cosec B + sec B , prove that tan A tan B = cot( A+ B)/ 2

If (sec A + tan A)(sec B + tan B)(sec C + tan C) = (sec A- tan A)(sec B- tan B)(sec C tan C) Prove that each side is equal to +-1.

If k=( sec A + tan A) ( sec B+ tan B) sec C + tan C)=(sec A - tan A)(sec B- tan B)(sec C - tan C) " then " k=

IF ( sec A - tan A) ( sec B - tan B) ( sec C- tan C ) =(sec A + tan A ) ( sec B + tan B ) ( secC + tan C ) then each is equal to