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anonymous
 3 years ago
Find an exact value: cos(pi/12)
anonymous
 3 years ago
Find an exact value: cos(pi/12)

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mathmate
 3 years ago
Best ResponseYou've already chosen the best response.0let y=cos(pi/12), then apply the double angle formula: cos^2(x)sin^2(x)=cos(2x) or, substituting sin^2(x)+cos^2(x)=1, 2cos^2(x)1=cos(2x) cos^2(x)=(1+cos(2x))/2 let x=pi/12 then cos^2(pi/12)=(1+cos(pi/6))/2 Since cos(pi/6) is known to be sqrt(3)/2, cos(pi/12)=sqrt((1+sqrt(3)/2)/2)

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0im sorry but thats not one of my options

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0i somehow have to use the sum and difference formulas

mathmate
 3 years ago
Best ResponseYou've already chosen the best response.0Are they in numerical values?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0yes they all have sqrt6 and sqrt2 over 4 but with different signs +/

mathmate
 3 years ago
Best ResponseYou've already chosen the best response.0cos^2(x)sin^2(x)=cos(2x) is from the double angle formula.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0how would you split pi/12? i think thats what i need to do?

mathmate
 3 years ago
Best ResponseYou've already chosen the best response.0You will need to evaluate each option to see if it evaluates to: sqrt((1+sqrt(3)/2)/2) which can be written as sqrt((2+sqrt(3)/4) or sqrt(2+sqrt(3))/2 Why don't you post the options if you're not sure?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0ok i think i got it thanks!!
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