1/1+sin²A+1/1+cosec²A=1

1.	1/1+sin²A+1/1+cosec²A=1
Answer» (1/1+sin^2 A)/(1/1+cosec^2 A)= (1+cosec^2 A)+(1+sin^2 A) ____________________________= (1+sin^2 A)(1+cosec^2 A 2+(1/sin^2 A)+sin^2 A ________________________ 1+(1/sin^2 A)+sin^2 A+ sin^2 A X 1/sin^2A =2+(1/sin^2 A)+sin^2 A _________________________ =1 2+(1/sin^2 A)+sin^2 A

Answer»

(1/1+sin^2 A)/(1/1+cosec^2 A)=

(1+cosec^2 A)+(1+sin^2 A)

____________________________=

(1+sin^2 A)(1+cosec^2 A

2+(1/sin^2 A)+sin^2 A

________________________

1+(1/sin^2 A)+sin^2 A+ sin^2 A X 1/sin^2A

=2+(1/sin^2 A)+sin^2 A

_________________________ =1

2+(1/sin^2 A)+sin^2 A

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1/1+sin²A+1/1+cosec²A=1​

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1/1+sin²A+1/1+cosec²A=1