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Prove. `Coseca+Cota=1/(Coseca-cota)` - Mathematics

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Prove.
`cosecA+cotA=1/(cosecA-cotA)`

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Solution

LHS `=cosecA+cotA`

`=(cosecA+cotA)/1xx(cosecA-cotA)/(cosecA-cotA)`

`=(cosec^2A-cot^2A)/(cosecA-cotA)=(1+cot^2A-cot^2A)/(cosecA-cotA)`

`=1/(cosecA-cotA)`= RHS

Concept: Trigonometric Identities
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APPEARS IN

Selina Concise Maths Class 10 ICSE
Chapter 21 Trigonometrical Identities
Exercise 21 (A) | Q 19 | Page 324
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