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

1 Answer

Oct 12, 2015

1

Explanation:

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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