8cosec^2A - 8cot^2A = ? (a) 0 (b) 1 (c) 8 (d) 16 - Bzziii

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`8cosec^2A - 8cot^2A` = ?

(a) 0
(b) 1
(c) 8
(d) 16




(c) 8



Option (c) 8cosec^2A - 8cot^2A = 8 is the correct answer.

⇒ `8cosec^2A - 8cot^2A` 

⇒ `\frac{8\times 1}{"sin"^2 A}-8\times\frac{"cos"^2 A}{"sin"^2 A}` 

⇒ `\frac{8-8"cos"^2 A}{"sin"^2 A}`

⇒ `\frac{8(1-"cos"^2 A)}{"sin"^2 A}`

⇒ `\frac{8\times"sin"^2 A}{"sin"^2 A}`

⇒ 8

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