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anonymous
 5 years ago
Trying to solve an identity with the sum and difference formula, (working one side):
sin (pi/6) + x)) + sin (pi / 6) x)) = cos x
anonymous
 5 years ago
Trying to solve an identity with the sum and difference formula, (working one side): sin (pi/6) + x)) + sin (pi / 6) x)) = cos x

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so we can start expanding out the formula we get ... sin(pi/6)cos(x) + sin(x)cos(pi/6) + sin(pi/6)cos(x)  cos(pi/6)sin(x) so now we get two terms because the other two terms cancel out. the term that cancels out is sin(x)cos(pi/6) so we simplify to sin(pi/6)cos(x) + sin(pi/6)cos(x) so ... 2sin(pi/6)cos(x) now we know that sin(pi/6) = 1/2 so 2* ( 1/2) =1 hence 1*cos(x) = cos(x)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Thank you so much! I really appreciate your expertise! :)
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