Question

verify this trig identity and scan in if possible plz... need all help i can get... :)

Answer 1

\[(tanxcotx/cosx)=secx \]

Answer 2

tan x=sin x/cos x and cot x = 1/tan x= cos x/sin x
so, (tan x)(cot x)=(sin x)(cos x)/(cos x)(sin x)= 1

therefore i/cos x= sec x

Answer 3

Here's another approach. Since we know tanxcotx = 1.
\[\left( tanxcotx\right)/cosx =secx\]
\[1/cosx = secx \]