Asked by Ray
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(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
Answers
Answered by
Bosnian
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
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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