Question

(sec^2x-1) (cosec²x-1)​

Answer 1

Answer:

Step-by-step explanation:

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Answer 2

$\underline { \blue { By \: Trigonometric\: identities : }}$

$\pink { i) sec^{2} x - 1 = tan^{2} x }$

$\orange { ii) cosec^{2} x - 1 = cot^{2} x }$

$Value \: of \: (sec^{2} x - 1)( cosec^{2} x - 1 ) \\= tan^{2} x \times cot^{2} x \\= 1$

$\blue { Since, tan^{2} x \times cot^{2} x = 1 }$

Therefore.,

$\red {Value \: of \: (sec^{2} x - 1)( cosec^{2} x - 1 )} \green {= 1 }$

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