Question

Evaluate the expression without using a calculator (Make a sketch of a right triangle)

tan(arccot 2)

Thanks in advance!
I'm trying to refresh my memory of these kinds of problems and I'm having trouble on how to solve this problem
tan ( arctan x ) = x

cot x = 1 / tan x

tan ( arccot x ) = tan [ arc (1 / tan x ) ] = 1 / tan ( arctan x ) = 1 / x


tan ( arccot 2 ) = tan [ arc (1 / tan 2 ) ] = 1 / tan ( arctan 2 ) = 1 / 2

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