Question

prove that cot A - Cos A upon cot A + Cos A=
cosec a -one upon cosec A + 1​

Answer 1

Answer:

cotA-cosA/cotA-cosA=cosecA-1/cosecA+1

Step-by-step explanation:

LHS=cotA-cosA/cotA+cosA

LHS=cotA-cosA/cotA+cosA =(cosA/sinA-cosA)/(cosA/sinA+cosA)

Take common cos from numerator or denominator

=cosA(1/sinA-1)/cosA(1/sinA+1)

Cancel the cos from numerator or denominator

=(1/sinA-1)/(1/sinA+1)

=(1/sinA-1)/(1/sinA+1) =CosecA-1/cosecA+1

{1/sinA= cosecA}