cosec 4squareA- cosec 2square A= cot 4 sqare+ cot 2 square A​

Question

cosec 4squareA- cosec 2square A= cot 4 sqare+ cot 2 square A​

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Liliana 13 hours 2021-10-12T09:07:34+00:00 1 Answer 0 views 0

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    2021-10-12T09:09:27+00:00

    Correct Question:-

    • cosec⁴A – cosec²A = cot⁴A – cot²A

    Step – by – step explanation:-

    Taking LHS:-

    cosec⁴A – cosec²A

    ★ Taking cosec²A common in each term,

    = cosec²A( cosec²A – 1)

    ★ As We know the trigonometric identity:-

    cosec²A = 1 + cot²A

    Therefore,

    = (1 + cot²A)[1 + cot²A – 1]

    = (1 + cot²A)(cot²A)

    = cot⁴A – cot²A

    Hence, LHS = RHS

    Therefore,

    cosec⁴A – cosec²A = cot⁴A – cot²A

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