Choose the correct value of $(\sec A+ an A)(1-\sin A)$.

Question

Choose the correct value of $(\sec A+	an A)(1-\sin A)$.

Accepted Answer

D. $\cos A$

**Rewrite in terms of sine and cosine:** $(\frac{1}{\cos A}+\frac{\sin A}{\cos A})(1-\sin A)=\frac{1+\sin A}{\cos A}(1-\sin A)$.
This becomes $\frac{1-\sin^2 A}{\cos A}=\frac{\cos^2 A}{\cos A}=\cos A$.

Answer

$\sec A$

Answer

$\sin A$

Answer

$\csc A$

Choose the correct value of $(\sec A+\tan A)(1-\sin A)$.