Question

prove that sec²-1÷cosec²-1=1​

Answer 1

Answer

1

Step-by-step explanation:

We know that,  

sec²A - tan²A = 1

sec²A - 1 = tan²A

Also, cosec²A - cot²A = 1

cosec²A - 1 = cot²A

And tanA * cotA = 1

Coming back to your question,

L. H. S

= (sec² θ - 1) ( cosec²θ - 1 )  

= tan² θ * cot² θ

= ( tan θ * cot θ ) ²  

= 1²  

= 1  

= R. H. S

Hence, (sec² θ - 1) ( cosec²θ- 1 ) = 1

HOPE THIS HELPS YOU.