cosectita+cottita=p
find the value of cosectita-cottita
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identity is cosec square tita-cot square tita=1
asquare-bsquare=(a+b)(a-b)
(cosec tita+cot tita)(cosec tita-cot tita)=1
p(cosec tita-cot tita)=1
cosec tita-cot tita=1/p
asquare-bsquare=(a+b)(a-b)
(cosec tita+cot tita)(cosec tita-cot tita)=1
p(cosec tita-cot tita)=1
cosec tita-cot tita=1/p
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Given
cosecФ + cotФ = p
we know that
cosec²Ф - cot²Ф = 1
⇒(cosecФ + cotФ)(cosecФ - cotФ) = 1
⇒p x (cosecФ - cotФ) = 1
⇒(cosecФ - cotФ) = 1/p
so
(cosecФ - cotФ) =
cosecФ + cotФ = p
we know that
cosec²Ф - cot²Ф = 1
⇒(cosecФ + cotФ)(cosecФ - cotФ) = 1
⇒p x (cosecФ - cotФ) = 1
⇒(cosecФ - cotФ) = 1/p
so
(cosecФ - cotФ) =
hope it helps
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