Question Detail

MTH 102 Practice Questions MTH 102 Objective Question

Question

∫tan(x)/cos(x) dx
Options
A secx
Correct Answer
B secx tanx
C tanx
D ln(cosx)
Correct Answer

Option A is the correct answer.

Detailed Explanation

tanx/cosx = sinx/cos²x. Substituting u=cosx gives ∫-du/u² = 1/u = secx.

Hint

Rewrite tanx/cosx in terms of sinx and cosx, then substitute u=cosx.

Question Info