Question

sin^2a sec^2a-sec^2a value

Answer 1

Answer:

-1

Explanation:

Take sec^2a common ,

= sec^2a(sin^2a-1)

= sec^2a(-cos^2a) 【sin^2a-1=-cos^2a】

= sec^2a/(-sec^2a) 【cos^2a=1/sec^2a】

= -1

Answer 2

Answer:

$\red { the \: value \: of \: sin^{2}Asec^{2}A - sec^{2}A}\green {= -1 }$

Explanation:

$sin^{2}Asec^{2}A - sec^{2}A$

$= sec^{2}A(sin^{2}A-1)\\=sec^{2}A [-(1-sin^{2}A)]\\= - sec^{2}Acos^{2}A\\= - \frac{1}{cos^{2}A}\times cos^{2}A\\= -1$

Therefore.,

$\red { the \: value \: of \: sin^{2}Asec^{2}A - sec^{2}A}\green {= -1 }$

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