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Verify the identity.

sin x + sin x tan^2 x=tan x sec x

Drag an expression into each box to correctly verify the identity.

 Apr 2, 2020

Best Answer 

 #1
avatar+23246 
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sun(x) + sin(x)·tan2(x) 

=  sin(x)[ 1 + tan2(x) ] 

=  sin(x)[ sec2(x) ] 

=  sin(x)·sec(x)·sec(x)

=  sin(x)·[ 1/cos(x) ]·sec(x)

=  [ sin(x)/cos(x) ]·sec(x)

=  tan(x)·sec(x)

 Apr 2, 2020
 #1
avatar+23246 
+1
Best Answer

sun(x) + sin(x)·tan2(x) 

=  sin(x)[ 1 + tan2(x) ] 

=  sin(x)[ sec2(x) ] 

=  sin(x)·sec(x)·sec(x)

=  sin(x)·[ 1/cos(x) ]·sec(x)

=  [ sin(x)/cos(x) ]·sec(x)

=  tan(x)·sec(x)

geno3141 Apr 2, 2020

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