Question

if A + B = 45 then prove:
( 1 + cotA) (1 + cotB) = 2cotBcotA​

Answer 1

Answer:

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Step-by-step explanation:

Solution

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Correct option is A)

Given A+B=45  

∘

 

⟹cot(A+B)=cot45  

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⟹  

cotA+cotB

cotAcotB−1

​

=1

⟹cotA+cotB−cotAcotB=−1

⟹cotA+cotB−cotAcotB−1=−2

⟹cotA(1−cotB)−(1−cotB)=−2

⟹(cotA−1)(1−cotB)=−2

⟹(cotA−1)(cotB−1)=2

So m=2

Answer 2

Answer:

Step-by-step explanation: