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anonymous
 one year ago
PLZ HELP SO CONFUSED!...Find a possible solution to the equation sin(3x + 13) = cos(4x)
anonymous
 one year ago
PLZ HELP SO CONFUSED!...Find a possible solution to the equation sin(3x + 13) = cos(4x)

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Look at your unit circle and find an angle where the sine and cosine coordinates are the same

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1~ \(\large\color{black}{ \displaystyle \sin(a+b)=\cos(a)\sin(b)+\sin(a)\cos(b) }\) ~ \(\large\color{black}{ \displaystyle \cos(a+b)=\cos(a)\cos(b)\sin(a)\sin(b) }\) these are the 2 rules u need to apply.

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1for cosine rule, in your particular case, this is the thing: \(\large\color{black}{ \displaystyle \cos(4x)=\cos(2x+2x) =\cos(2x)\cos(2x)\sin(2x)\sin(2x) }\) \(\large\color{black}{ \displaystyle \cos(4x)=\cos^2(2x)\sin^2(2x) }\)

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1so just basically "unfold" everything to an angle of a single x, and solve.

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1rwwrite in terms of sin(x) and cos(x) basically.

freckles
 one year ago
Best ResponseYou've already chosen the best response.0since it says to find A solution I would just say use the cofunction identity \[\sin(3x+13)=\sin(\frac{\pi}{2}4x)\] and set insides equation to find a (one) solution.
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