Math, asked by mjarushi1564, 1 year ago

if A + B =135° , then prove that ( cotA + 1 ) ( cot B + 1 ) = 2

Answers

Answered by 15121115anil
4
you can prove it by use this identical equation
(tanA+1) (tanB+1) =2
when A+B =45°

Bubu301102: (1+Cota)(1+Cotb)= 1+Cota+Cotb+CotaCotb
Bubu301102: =1+ CotaCotb-1/Cot(a+b) + CotaCotb=1+1-CotaCotb+CotaCotb=2
Bubu301102: So A+B=135–> Cot(A+B)= -1
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