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avatar+466 

sec 2x - 1/2 sec 2x = sin2 x

Show that the left side equals the right, you get the idea. I must say... I hate these.angry

 Feb 26, 2016
 #1
avatar+129845 
+5

Shades...I think this is supposed to be.....

 

[sec^2x - 1 ] / sec^2 x  = sin^2x

 

It's usually best to break these tihngs down in terms of sine and/or cosine .....or use an identity to get something in the form of the tangent which can be expressed in terms of sine and cosine......so we have

 

tan^2x / sec^2x  =      [remember that sec^2x - 1   = tan^2x]

 

[sin^2x / cos^2x]  / [1 / cos^2x]  =

 

[sin^2 x  / cos^2x ] * [ cos^2 x / 1] =     [the cos^2x  cancels  on top/bottom]

 

sin^2x        and this =  the right side

 

 

cool cool cool

 Feb 26, 2016

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