A+B=135 1+cosa×1+cosB
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Step-by-step explanation:
Please do correction in question as :
If A+B=135 then find the value of (1+cotA)×(1+cotB)
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A+B=135
So tan135=(tanA+tanB)/(1-tanAtanB)
tan(90+45)=(tanA+tanB)/(1-tanAtanB)
-cot45=(tanA+tanB)/(1-tanAtanB)
-1=(tanA+tanB)/(1-tanAtanB)
tanA+tanB =tanA tanB-1
Now (1+cotA)(1+cotB)
=(1+1/tanA)*(1+1/tanB)
=1+ 1/tan A + 1/tan B+ 1/tanAtanB
=1+(tanA+tanB)/tanAtanB +1/tanAtanB
=1+(tanAtanB-1)/tanAtanB + 1/tanAtanB
=1 + tanAtanB/ tanAtanB - 1/tanAtanB + 1/tanAtanB
=1+1 =2
Answered by
6
A + B = 135
I can't understand your question.....
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