Maths

   prove that, (cosecA-cotA)2=1-cosA/1+cosA

HS Hafizur Rahman's image
HS Hafizur Rahman
Jan. 27, 2019, 3:54 p.m.

Answers!

HS Hafizur Rahman's image
HS Hafizur Rahman
Jan. 27, 2019, 4:08 p.m.

(cosecA-cotA)2=1-cosA/1+cosA

 L.H.S.=(cosecA-cotA)2

            =[ 1/sinA-cosA/sinA]2

            ={1-cosA/sinA}2

            =(1-cosA)2/sin2A

            =(1-cosA)(1-sinA)/1-cos2A

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

            =1-cosA/1+cosA

            =R.H.S.

Comment

Answer the question...

HS Hafizur Rahman's image