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Question
If `( cosec theta + cot theta ) =m and ( cosec theta - cot theta ) = n, ` show that mn = 1.
Solution
We have `(cosec theta + cot theta ) = m ............(i)`
Again ,`( cosec theta - cot theta )=n ............(ii)`
๐๐๐ค, ๐๐ข๐๐ก๐๐๐๐ฆ๐๐๐ (๐)๐๐๐ (๐๐), ๐ค๐ ๐๐๐ก:
`(cosec theta + cot theta ) xx ( cosec theta - cot theta ) = mn`
= >`cosec ^2 theta - cot^2 theta =mn`
= >1= mn `[โต cosec ^2 theta - cot^2 theta =1]`
∴ mn =1
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