Answer:
sec theta
Step-by-step explanation:
we have this as follows;
cos theta +cos theta tan^2 theta
= cos theta (1 + tan^2 theta)
Recall;
1 + tan^2 theta = sec^2 theta
= sec^2 theta * cos theta
Recall;
sec theta = 1/ cos theta
= 1/cos theta * cos theta * 1/cos theta
= 1/cos theta = sec theta
