Thxs

tanx = sinx/cosx
cotx = cosx/sinx
so...........
tanx + cotx = (secx)(cscx)
sinx/cosx + cosx/sinx
Find the LCM, which in this case is sinxcosx..........
(sin²x + cos²x) / (sinxcosx) = (secx)(cscx)
sin²x + cos²x = 1
1/sinxcosx = (secx)(cscx)
secx = 1/cosx
cscx = 1/sinx
(1/sinx)(1/cosx) = (secx)(cscx)
(secx)(cscx) = (secx)(cscx)
cotx = cosx/sinx
so...........
tanx + cotx = (secx)(cscx)
sinx/cosx + cosx/sinx
Find the LCM, which in this case is sinxcosx..........
(sin²x + cos²x) / (sinxcosx) = (secx)(cscx)
sin²x + cos²x = 1
1/sinxcosx = (secx)(cscx)
secx = 1/cosx
cscx = 1/sinx
(1/sinx)(1/cosx) = (secx)(cscx)
(secx)(cscx) = (secx)(cscx)