Question

The law of cosines is a²+b²-2ab cos(c)=c² Find the value of ab cos(c)

A)ab cos(c)
B)a²+b²-c²
C)c²-a²-c²
D)c²+a²-b²

Answer 1

The value of ab cos(c) is c² - a² - b².

Step-by-step explanation:

The law of cosines, a² + b² - 2ab cos(c) = c², can be rearranged to solve for ab cos(c).

To find ab cos(c), we can subtract a² and b² from both sides of the equation:

ab cos(c) = c² - a² - b²

Therefore, the value of ab cos(c) is c² - a² - b².