tan(2Θ)+tan(Θ)= 0
SOLVE ON THE INTERVAL: 0≤Θ

Question

tan(2Θ)+tan(Θ)= 0
SOLVE ON THE INTERVAL: 0≤Θ<2π

mathmale · Answer

the trick here is to find an equivalent expression in tan theta alone for tan (2 theta).  Hint:  look up "double angle formula."  Would you be willing to look for the proper formula for tan (2*theta)?

anonymous · Answer

yeah it is: 2tanΘ/ (1-tan^2Θ)

anonymous · Answer

i made that equal to right side. then what do i do?

mathmale · Answer

Your original eqn is tan (2 theta) + tan (theta) = 0.

Replace tan (2 theta) with the double angle formula that you've just typed in.

Note that the resulting equation will be in tan (theta) only; your tan (2 theta) will have disappeared.

Please show me (type in) what you have after this substitution.

anonymous · Answer

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mathmale · Answer

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anonymous · Answer

sorry thats what i meant

anonymous · Answer

so then would you make them same denominator?

mathmale · Answer

I certainly would.  Would you care to try that, please?

anonymous · Answer

ok yea

mathmale · Answer

Anxious to see your result!

anonymous · Answer

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