Question

If A+B= 90degrees then show that
(cotA-1)(cotB-1)=2 or cot221/2=√2+1


​

Answer 1

Answer:

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>>Trigonometric Functions of Sum and Difference of Two angles

>>If A + B = 45^o , then ( c...

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If A+B=45

o

, then (cotA−1)(cotB−1)=m.Find m

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Solution

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Correct option is

A

2

Given A+B=45

∘

⟹cot(A+B)=cot45

∘

⟹

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

Solve any question of Trigonometric Functions with:-

Answer 2

Answer:

m=2

Step-by-step explanation:

steps are above

please refer to it