Question

tan(-x)/cot(-x) = ?

Answer 1

Remember cot x = 1/tan x

Answer 2

1

Answer 3

no

Answer 4

Tan x * cot x =1 ; since they are inverse of each other

Answer 5

\[\dfrac{\tan(-x)}{\cot(-x)} = \dfrac{\tan(-x)}{\dfrac{1}{\tan(-x)}} = \tan^2(-x)\]

Answer 6

Since \(\tan(-x) \ -tan(x)\), \(\tan^2(-x) = --tan^2(x) = \boxed{\tan^2(x)}\)