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gjhfdfg Group Title

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

  • 2 years ago
  • 2 years ago

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  1. gjhfdfg Group Title
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    \[\frac{ \tan4 \theta + \tan 2 \theta }{ 1 - \tan 4 \theta + \tan 2 \theta }\]

    • 2 years ago
  2. hsmt Group Title
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    hi. do you still need help with this one?

    • 2 years ago
  3. gjhfdfg Group Title
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    Yes, I'm so lost on how to solve it

    • 2 years ago
  4. hsmt Group Title
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    do you know the tangent addition formula?

    • 2 years ago
  5. hsmt Group Title
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    tan(a+b)=(tan a +tan b)/(1-tan a tanb)

    • 2 years ago
  6. hsmt Group Title
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    have you seen this formula before?

    • 2 years ago
  7. hsmt Group Title
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    now think about the angle a=4theta and the angle b=2theta. does this help?

    • 2 years ago
  8. gjhfdfg Group Title
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    Ive seen it but never used it,

    • 2 years ago
  9. hsmt Group Title
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    ah. well, your teacher is giving you the opportunity here

    • 2 years ago
  10. gjhfdfg Group Title
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    I'm confused on how I solve it with the this formula using the 'theta'

    • 2 years ago
  11. hsmt Group Title
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    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)

    • 2 years ago
  12. hsmt Group Title
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    it is good to ask questions if you are in doubt. :)

    • 2 years ago
  13. gjhfdfg Group Title
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    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

    • 2 years ago
  14. hsmt Group Title
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    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

    • 2 years ago
  15. gjhfdfg Group Title
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    So, tan 4theta + tan 2theta / 1- tan 4theta * tan 2.?

    • 2 years ago
  16. hsmt Group Title
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    we are interested in the left side. the tan (a+b) part. this condenses the mess you were given.

    • 2 years ago
  17. gjhfdfg Group Title
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    So 4 theta + 2 theta.?

    • 2 years ago
  18. hsmt Group Title
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    which becomes tan ?

    • 2 years ago
  19. gjhfdfg Group Title
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    You would add the 4 & 2 together & get 6 & 6 would be the tan wouldn't it.?

    • 2 years ago
  20. hsmt Group Title
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    perfect. yes!! so you tan 6theta, which is the trig function (tan) of a single angle 6theta.

    • 2 years ago
  21. gjhfdfg Group Title
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    Alright thank you for help.! :-) I understand this now.!

    • 2 years ago
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is replying to Can someone tell me what button the professor is hitting...

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