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anonymous
 one year ago
Thanks for helping!
6. Prove the identity:
(cosx+cosy)^2+(sinxsiny)^2=2+2cos(x+y)
Part I: Complete the lefthand column of the table below following the steps indicated in the righthand column. (12 points)
Given on the left side of the original problem
(cosx+cosy)^2+(sinxsiny)^2
Expand each squared term
Simplify the expression
Apply the Pythagorean identity
Apply the addition formula for cosine
anonymous
 one year ago
Thanks for helping! 6. Prove the identity: (cosx+cosy)^2+(sinxsiny)^2=2+2cos(x+y) Part I: Complete the lefthand column of the table below following the steps indicated in the righthand column. (12 points) Given on the left side of the original problem (cosx+cosy)^2+(sinxsiny)^2 Expand each squared term Simplify the expression Apply the Pythagorean identity Apply the addition formula for cosine

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@dan815 @Kainui @jim_thompson5910 @zepdrix

dan815
 one year ago
Best ResponseYou've already chosen the best response.1(cosx+cosy)^2+(sinxsiny)^2=??

dan815
 one year ago
Best ResponseYou've already chosen the best response.1and use the cos trig identities

dan815
 one year ago
Best ResponseYou've already chosen the best response.1cosxcosy+sinxsiny = cos(x+y) ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0cos^2(x)+2cos(x)cos(y)2sin(x)sin(x)+cos^2(x)+sin^2(y)+sin^2

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0That is the identity?

dan815
 one year ago
Best ResponseYou've already chosen the best response.1i dunno maybe its a negative inbetween

dan815
 one year ago
Best ResponseYou've already chosen the best response.1cosxcosy sinxsiny = cos(x+y) ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0thanks, from here I can simplify and use the Pythagorean identity?

dan815
 one year ago
Best ResponseYou've already chosen the best response.1sin^2(a) + cos^2(a) = 1;

dan815
 one year ago
Best ResponseYou've already chosen the best response.1as seen from the unit circle

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I'll give you a medal. That helped a lot!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I'm new to this site, so I think that is what I'm supposed to do. Ha ha
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