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he66666
 5 years ago
Solving linear trig equations?
Solve tan(3x)=1 if pi≤x≤pi.
answer: x=pi/12, 5pi/12, 3pi/4, pi/4, 7pi/12, 11pi/12
I don't get how you do this question.. I know that the restrictions become 3pi≤3x≤3pi but i can't do beyond that.. can somebody please help?
he66666
 5 years ago
Solving linear trig equations? Solve tan(3x)=1 if pi≤x≤pi. answer: x=pi/12, 5pi/12, 3pi/4, pi/4, 7pi/12, 11pi/12 I don't get how you do this question.. I know that the restrictions become 3pi≤3x≤3pi but i can't do beyond that.. can somebody please help?

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Principle angle = arctan(1) = pi/4. => 3x = pi/4 Also, tan(a) = tan(b) <=> a = pi*n + b => 3x also equals pi/4 +/ pi within the restriction +/3pi. Then divide all these by 3.

he66666
 5 years ago
Best ResponseYou've already chosen the best response.0I still don't get it... I can't until 3x = pi/4 :S

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Oh dear :(. You need to go relearn it then

he66666
 5 years ago
Best ResponseYou've already chosen the best response.0I just don't get the restriction part of it.. if it's 0≤x≤2pi, I can do most questions but if it's pi≤x≤pi or other "complicated" ones, I can't do it

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0It's exactly the same principle (especially for tan) ...
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