Question

Prove that : (sec² A -1 ) (cosec² A-1) = 1 ??​

Answer 1

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$(sec² A -1 ) (cosec² A-1)$

$= tan² A \times cot² A$

$= tan² A \times \frac{1}{tan² A}$

$= 1$

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Answer 2

Answer:

Step-by-step explanation:

We know Sec^2 A-Tan^2 A=1

Sec^2 A-1=Tan^2 A

Similarly Cosec^2 A-1=Cot^2 A

(Sec^2 A-1) (Cosec^2 A-1)=Tan^2 A *Cot^2 A

Tan and Cot are opposite to each other so answer=1

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