Question

cot⁴A-1=cosec⁴A-2cosec²A

Answer 1

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Answer 2

Answer:

Taking L.H.S

Cot⁴A – 1

( Cot²A)² – (1)²

we know that [ a²-b² = ( a+b)(a-b)]

( Cot²A + 1) ( Cot²A – 1)---------1

we know that ( Cot²A = cosec²-1)

Now put this value in equation ---1

(Cosec²A – 1 + 1) ( Cosec²A– 1 – 1)

( Cosec²A) ( Cosec² – 2)

Cosec⁴A - 2 Cosec²A

= R.H.S

# proved

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