prove that cotA-cosA/cotA+cosA=cosecA-1/cosecA+1
Answers
Answered by
33
Solution :
LHS = (cotA-cosA)/(cotA+cosA)
= [cosA/sinA -cosA]/[cosA/sinA+cosA]
Divide numerator and denominator
with cosA .
= (1/sinA - 1 )/(1/sinA + 1 )
= ( cosecA - 1 )/( cosecA + 1 )
[ since , 1/sinA = cosecA ]
= RHS
•••••
LHS = (cotA-cosA)/(cotA+cosA)
= [cosA/sinA -cosA]/[cosA/sinA+cosA]
Divide numerator and denominator
with cosA .
= (1/sinA - 1 )/(1/sinA + 1 )
= ( cosecA - 1 )/( cosecA + 1 )
[ since , 1/sinA = cosecA ]
= RHS
•••••
Similar questions