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show that cot inverse (1) + cot inverse (2) + cot inverse (3) = pi/4 ?
 2 years ago
 2 years ago
Yahoo! Group Title
show that cot inverse (1) + cot inverse (2) + cot inverse (3) = pi/4 ?
 2 years ago
 2 years ago

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SmoothMath Group TitleBest ResponseYou've already chosen the best response.0
I believe this is not actually true...
 2 years ago

SmoothMath Group TitleBest ResponseYou've already chosen the best response.0
cotangent is the ratio of cosine to sine for an angle. Inverse cotangent means that for a specific ratio, the output will be the angle that has that ratio. \(cot^{1}(1)\) will give us the angle for which cosine is equal to sine. This turns out to be pi/4 Add in \(cot^{1}(2)\) and \(cot^{1}(3)\) and clearly the angle won't be pi/4 anymore.
 2 years ago

Coolsector Group TitleBest ResponseYou've already chosen the best response.0
arccot(x) = arctan(1/x) if x>0 so arctan(1) = arccot(1) = pi/4 the rest are positive so it cant be true arccot(2) = arctan(1/2) > 0 arccot(3) = arctan(1/3) > 0
 2 years ago

Coolsector Group TitleBest ResponseYou've already chosen the best response.0
yes looks like we wrote the same thing lol
 2 years ago

SmoothMath Group TitleBest ResponseYou've already chosen the best response.0
Correct =)
 2 years ago

SmoothMath Group TitleBest ResponseYou've already chosen the best response.0
This problem was almost certainly meant to say = pi/2
 2 years ago
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