In right triangle \(ABC\), shown below, \(\cos{B}=\frac{6}{10}\). What is \(\tan{C}\)?

Guest Dec 14, 2021

#2**+1 **

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.**

tinfoilhat Dec 14, 2021