buktikanlah (secB-cosecB)(sinB+cosB)=tanB.cotB

IdenTitas TriGonoMetRi

(sec b - csc b)(sin b + cos b)
= sec b (sin b + cos b) - csc b (sin b + cos b)
= (sin b/cos b + 1) - (1 + cos b/sin b)
= sin b/cos b - cos b/sin b
= tan b - cot b
tdk terbukti

(1/cosB-1/sinB).(sinB+cosB)=tanB.cotB
(sinB-cosB/sinBcosB).(sinB+cosB)
(sin²B-cos²B)/sinBcosB=tanB.cotB
sin²B/sinBcosB - cos²B/sinBcosB
sinB/cosB - cosB/sinB = tanB.cotB
tanB-cotB ≠ tanB.cotB