How do you simplify ${sec}^{2} x (1 - {sin}^{2} x)$ $sec^2x (1-sin^2x)$ ?

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Answer 1 · 2015-10-12T21:41:32

1

From trig identities, ${sin}^{2} x + {cos}^{2} x = 1$ $sin^2x+cos^2x=1$
$therefore 1-sin^2x=cos^2x$

$therefore sec^2x(1-sin^2x)=sec^2x*cos^2x$
$=1/(cos^2x)*cos^2x$
$=1$

How do you simplify sec^2x (1-sin^2x)sec2x(1−sin2x) sec^2x (1-sin^2x)?