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How do you simplify ## sec^2x (1-sin^2x)##?

    1

    From trig identities, ##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##

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