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Rewrite the expression as a trigonometric function of a single angle measure.
 one year ago
 one year ago
Rewrite the expression as a trigonometric function of a single angle measure.
 one year ago
 one year ago

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gjhfdfgBest ResponseYou've already chosen the best response.1
\[\frac{ \tan4 \theta + \tan 2 \theta }{ 1  \tan 4 \theta + \tan 2 \theta }\]
 one year ago

hsmtBest ResponseYou've already chosen the best response.0
hi. do you still need help with this one?
 one year ago

gjhfdfgBest ResponseYou've already chosen the best response.1
Yes, I'm so lost on how to solve it
 one year ago

hsmtBest ResponseYou've already chosen the best response.0
do you know the tangent addition formula?
 one year ago

hsmtBest ResponseYou've already chosen the best response.0
tan(a+b)=(tan a +tan b)/(1tan a tanb)
 one year ago

hsmtBest ResponseYou've already chosen the best response.0
have you seen this formula before?
 one year ago

hsmtBest ResponseYou've already chosen the best response.0
now think about the angle a=4theta and the angle b=2theta. does this help?
 one year ago

gjhfdfgBest ResponseYou've already chosen the best response.1
Ive seen it but never used it,
 one year ago

hsmtBest ResponseYou've already chosen the best response.0
ah. well, your teacher is giving you the opportunity here
 one year ago

gjhfdfgBest ResponseYou've already chosen the best response.1
I'm confused on how I solve it with the this formula using the 'theta'
 one year ago

hsmtBest ResponseYou've already chosen the best response.0
ok. well, it is more recognition than solving. look at the form of the equation i gave you and the relation you wrote above. write this puppy as the tangent of the sum of the two angles you have been given (4theta and 2theta)
 one year ago

hsmtBest ResponseYou've already chosen the best response.0
it is good to ask questions if you are in doubt. :)
 one year ago

gjhfdfgBest ResponseYou've already chosen the best response.1
Sorry, If it takes to long to respond, I'm still confused a little so I'm trying to write it down so that would hopefully help me get it
 one year ago

hsmtBest ResponseYou've already chosen the best response.0
no problem. so the form of the equation is tan (a+b)=(tan a +tan b)/(1tan a tan b). substitute for a 4theta and for b 2theta
 one year ago

gjhfdfgBest ResponseYou've already chosen the best response.1
So, tan 4theta + tan 2theta / 1 tan 4theta * tan 2.?
 one year ago

hsmtBest ResponseYou've already chosen the best response.0
we are interested in the left side. the tan (a+b) part. this condenses the mess you were given.
 one year ago

gjhfdfgBest ResponseYou've already chosen the best response.1
So 4 theta + 2 theta.?
 one year ago

gjhfdfgBest ResponseYou've already chosen the best response.1
You would add the 4 & 2 together & get 6 & 6 would be the tan wouldn't it.?
 one year ago

hsmtBest ResponseYou've already chosen the best response.0
perfect. yes!! so you tan 6theta, which is the trig function (tan) of a single angle 6theta.
 one year ago

gjhfdfgBest ResponseYou've already chosen the best response.1
Alright thank you for help.! :) I understand this now.!
 one year ago
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