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show that cot inverse (1) + cot inverse (2) + cot inverse (3) = pi/4 ?
 one year ago
 one year ago
show that cot inverse (1) + cot inverse (2) + cot inverse (3) = pi/4 ?
 one year ago
 one year ago

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SmoothMathBest ResponseYou've already chosen the best response.0
I believe this is not actually true...
 one year ago

SmoothMathBest 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.
 one year ago

CoolsectorBest 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
 one year ago

CoolsectorBest ResponseYou've already chosen the best response.0
yes looks like we wrote the same thing lol
 one year ago

SmoothMathBest ResponseYou've already chosen the best response.0
This problem was almost certainly meant to say = pi/2
 one year ago
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