A verify each identity to get full credit show the steps fro
A. verify each identity. to get full credit show the steps from one side of the identity to the other.
(1) tanx cosx = sinx
(2) (sec x+1)(sec x-1) = tan^2x.
Solution
1.tanx cos x= sin x
We start with the left side
and tanx =sinx /cos x
therefore (sinx/cosx)* cos x
sinx= right side
2.(secx-1)(secx+1)=tan^2x
starting with the left side
(secx -1)(secx+1)
= sec^2x-1
= tan^2x= right side
