Column 1 Column 2

Question

sec theta - cos theta
tan theta sin theta
Question: how do you get column 1 to be the same as column 2 ?? using the eight fundamental identities

Answer 1

Now we are cooking

working on the left

1/cos t - cos t

1/cos t -cos^2 t/cos t

(1 - cos^2 t)/cos t

sin^2 t/cos t

(sin t/cos t) sin t

tan t sin t
which is on the right