Math, asked by gnaneshmuni, 11 months ago

(Cosec A + Cot A)(1 – Cos A) =​

Answers

Answered by Anonymous
13

\huge\underline{ \mathbb\red{⭐A} \green{n} \mathbb\blue{S} \purple{w} \mathbb \orange{E} \pink{r}} \:

➡️LHS = cosecA (1-cos A) (cosec A + cot A)

= (cosecA-cosecAcosA)(cosecA+cotA)

= (cosecA-cotA)(cosecA+cotA)

➡️Since ,

cosecAcosA = cosA/sinA = cotA

= cosec²A - cot²A

= 1

➡️Since ,

cosec²A - cot²A = 1

= RHS

Answered by curry8
0

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