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anonymous
 5 years ago
tan2θ−√3tanθ=0
Find all solutions in the interval [0,360°)
anonymous
 5 years ago
tan2θ−√3tanθ=0 Find all solutions in the interval [0,360°)

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0tan(2x) = 2tanx/(1 (tanx)^2) tan2x  sqrt(3)tanx = 2tanx/(1 (tanx)^2)  sqrt(3)tanx = 0 2tanx  (1 (tanx)^2)) *[ sqrt(3)tanx] = 0 21+ sqrt(3) (tanx)^2 = 0 now solve for tanx!

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so is it tanx=sqrt (1/1+sqrt3)??? then how do i convert it to intervals of [0,360degrees)?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0thanks for coming back!

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0actually, it's tanx = sqrt(1/sqrt3)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so... actually tanx is equal to plus or minus sqrt(1/sqrt3).. Positive right hand side: Take the inverse tangent to get 37.22 degrees... Now the only other value which equals sqrt(1/sqrt3) is 180 degrees plus that Negative right hand side: Take the inverse tangent to get 322.77 degress... The only other tan of a value to equal sqrt(1/sqrt3) is 180 degrees less than that!

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so, is the solution set: 37, 143, 217 322) ????
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