Question

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Prove that cotA+cosecA-1÷
cotA - cosecA+ 1
I + cosA÷
Sin A​

Answer 1

Answer:

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Answer 2

Answer:

cosecA+cotA−1

​  

 

we know that,cosec²A−cot²A=1  

substituting this in the numerator,  

(cotA−cosecA+1)

cosecA+cotA−(cosec²A−cot²A)

​  

 

x²−y²=(x+y)(x−y)

(cotA−cosecA+1)

cosecA+cotA−(cosecA+cotA)(cosecA−cotA)

​  

 

taking common  

(cotA−cosecA+1)

(cosecA+cotA)(1−cosecA+cotA)

​  

 

cancelling like terms in numerator and denominator  

we are left with cosecA+cotA=  

sinA

1

​  

+  

sinA

cosA

​  

=  

sinA

(1+cosA)

​  

 

Step-by-step explanation: