Question

what is the exact value of cot 5pie/3?

Answer 1

find the coordinates corresponding to \(\frac{5\pi}{3}\) on the attached cheat sheet
the first coordinate is cosine, the second coordinate is sine

Answer 2

sin(x) / cos(x) = tan(x)

sin(5pi/3) = sin(-pi/3) = -sin(pi/3) = -sqrt(3) / 2
cos(5pi/3) = cos(-pi/3) = cos(pi/3) = 1/2 (no, that's not an error on my part)

(-sqrt(3) / 2) / (1 / 2) = (-sqrt(3) * 2) / (2 * 1) = -sqrt(3)

tan(5pi/3) = -sqrt(3)

Answer 3

thank you :)

Answer 4

welcome