Question

26. Julie says that sin A/cos A = tan A and sin B / cos B = tan B. Use the triangle shown to prove

Answer 1

Julie is correct because:

$\frac{\sin A}{\tan A}=\frac{a/c}{b/c}=a/b=\tan A \\ \\ \frac{\sin B}{\cos B}=\frac{b/c}{a/c}=b/a =\tan B$