Question

cosec A (1 + cos A) (cosec A - cot A) = 1​

Answer 1

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

[Cosec A (1 + cos A)] (cosceA - Cot A)

First multiply the terms in square brackets

=> (cosec A + cos A Cosec A) (Cosec A - Cot A)

=> (cosec A + cos A/sin A) (Cosec A - Cot A)

because cosec A = 1/sinA

=> (cosec A + cot A) (Cosec A - Cot A)

because cos A/Sin A = Cot A

=> cosec²A - cot²A

because (a + b)(a - b) = a² + b²

=>   1  

Because cosec²A - cot²A = 1

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