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Trig maths help

I'm stuck on a question 'Solve 3tan^2 (x) = 5 for 0<x<pi'
I've attempted it a few times and can't solve it.
could you please show me how to solve it please
Any help would be greatly appreciated :'D
Original post by thetinychicken
I'm stuck on a question 'Solve 3tan^2 (x) = 5 for 0<x<pi'
I've attempted it a few times and can't solve it.
could you please show me how to solve it please
Any help would be greatly appreciated :'D


Moved to Maths section :smile:
Original post by thetinychicken
I'm stuck on a question 'Solve 3tan^2 (x) = 5 for 0<x<pi'
I've attempted it a few times and can't solve it.
could you please show me how to solve it please
Any help would be greatly appreciated :'D


Sure

Could you show your steps so that we can see where you are going wrong
Original post by TenOfThem
Sure

Could you show your steps so that we can see where you are going wrong


Well first of all i'm replacing the tan2(x) with sin2(x)/cos2(x)
Then i replaced the cos2(x0 with 1-sin2(x)
And then i've been trying to rearrange it to something i can factorise or at least do something with them but i keep ending up with 8sin2(x)=5 and i can't do anything from there
Reply 4
Avatar for TLHroolz
TLHroolz
3
Original post by thetinychicken
Well first of all i'm replacing the tan2(x) with sin2(x)/cos2(x)
Then i replaced the cos2(x0 with 1-sin2(x)
And then i've been trying to rearrange it to something i can factorise or at least do something with them but i keep ending up with 8sin2(x)=5 and i can't do anything from there


It's all unnecessary... Try to make tanx the subject?
Original post by TLHroolz
It's all unnecessary... Try to make tanx the subject?


tan2(x) = 5/3
how would i get rid of the ^2 on the tan?
Original post by thetinychicken
Well first of all i'm replacing the tan2(x) with sin2(x)/cos2(x)
Then i replaced the cos2(x0 with 1-sin2(x)
And then i've been trying to rearrange it to something i can factorise or at least do something with them but i keep ending up with 8sin2(x)=5 and i can't do anything from there


Why

Can you solve 3t2=53t^2 = 5

If so

You can find tan(x) =
Reply 7
Avatar for TLHroolz
TLHroolz
3
Original post by thetinychicken
tan2(x) = 5/3
how would i get rid of the ^2 on the tan?


How can you make a squared term down to just that term? (Eg x^2 to x)
Original post by TLHroolz
How can you make a squared term down to just that term? (Eg x^2 to x)


square root.
i'm annoyed that i didn't realise that sooner.
thank you for the help :biggrin:
Reply 9
Avatar for TLHroolz
TLHroolz
3
Original post by thetinychicken
square root.
i'm annoyed that i didn't realise that sooner.
thank you for the help :biggrin:


Don't forget what happens when you square root! :wink:
You're welcome!

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