(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.
Written on 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.
Written on Jan. 27, 2019, 4:08 p.m.