In right triangle \(ABC\), shown below, \(\cos{B}=\frac{6}{10}\). What is \(\tan{C}\)?
+133 The definition of cosine is the opposite side of the angle divided by the hypotenuse. This means that AC/10 = 6/10, so AC = 6. By the Pythagorean theorem, AB = √(10^2-6^2) = 8.
The tangent's definition is the side opposite to the angle divided by the side adjacent to the angle. This is AC/AB = 6/8 = 3/4.
