How do you solve $sec^2 x sin^2 x - sec^2 x = -1$ ?

1 Answer

May 31, 2018

$f(x) = sec^2 x.sin^2 x - sec^2 x$
$f(x) = sec^2 x(sin^2 x - 1)$
Note:
$sec^2 x = 1/(cos^2 x)$
$sin^2 x - 1 = - cos^2 x$
Therefor,
$f(x) = - cos^2 x/(cos^2 x) = - 1$ . Proved.

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How do you solve $sec^2 x sin^2 x - sec^2 x = -1$ ?

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How do you solve $sec^2 x sin^2 x - sec^2 x = -1$ ?