anonymous
  • anonymous
Rewrite the expression as a trigonometric function of a single angle measure.
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
\[\frac{ \tan4 \theta + \tan 2 \theta }{ 1 - \tan 4 \theta + \tan 2 \theta }\]
anonymous
  • anonymous
hi. do you still need help with this one?
anonymous
  • anonymous
Yes, I'm so lost on how to solve it

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
do you know the tangent addition formula?
anonymous
  • anonymous
tan(a+b)=(tan a +tan b)/(1-tan a tanb)
anonymous
  • anonymous
have you seen this formula before?
anonymous
  • anonymous
now think about the angle a=4theta and the angle b=2theta. does this help?
anonymous
  • anonymous
Ive seen it but never used it,
anonymous
  • anonymous
ah. well, your teacher is giving you the opportunity here
anonymous
  • anonymous
I'm confused on how I solve it with the this formula using the 'theta'
anonymous
  • anonymous
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)
anonymous
  • anonymous
it is good to ask questions if you are in doubt. :)
anonymous
  • anonymous
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
anonymous
  • anonymous
no problem. so the form of the equation is tan (a+b)=(tan a +tan b)/(1-tan a tan b). substitute for a 4theta and for b 2theta
anonymous
  • anonymous
So, tan 4theta + tan 2theta / 1- tan 4theta * tan 2.?
anonymous
  • anonymous
we are interested in the left side. the tan (a+b) part. this condenses the mess you were given.
anonymous
  • anonymous
So 4 theta + 2 theta.?
anonymous
  • anonymous
which becomes tan ?
anonymous
  • anonymous
You would add the 4 & 2 together & get 6 & 6 would be the tan wouldn't it.?
anonymous
  • anonymous
perfect. yes!! so you tan 6theta, which is the trig function (tan) of a single angle 6theta.
anonymous
  • anonymous
Alright thank you for help.! :-) I understand this now.!

Looking for something else?

Not the answer you are looking for? Search for more explanations.