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walvarezb
 2 years ago
Urgent, cos 3x = sen 3x solutions?
walvarezb
 2 years ago
Urgent, cos 3x = sen 3x solutions?

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ekaknr
 2 years ago
Best ResponseYou've already chosen the best response.0I suppose thats sin 3x.. so, you could do two things ~ 1. divide on both sides by sin 3x to get the equation cot 3x = 1. then, you solve for 3x first, and divide the solution by 3 to get for x. 2. Bring the sin 3x to the LHS to get the equation cos 3x  sin 3x = 0, then multiply on both sides with (cos 3x + sin 3x) to get sin 6x =1, and similarly solve for 6x first, and divide the solution by 6 to get for x. By both these steps, we arrive at the general solution, \[x = \frac{ n \pi }{ 3 } + \frac{ \pi }{ 12 }\]

OJFord
 2 years ago
Best ResponseYou've already chosen the best response.0Or divide by cos3x if unfamiliar with cot; leaving tan3x = 1; arctan(1) = 3x; 3x = pi/4; x = pi/12. Then repeating with the same frequency ekaknr shows.
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