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NY,NY

  • one year ago

help :( Solve the equation 2 tan C - 3 = 3 tan C - 4 algebraically for all values of C in the interval 0 degrees less than or equal to C < 360degrees.

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  1. NY,NY
    • one year ago
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    @Hero

  2. NY,NY
    • one year ago
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    @Preetha

  3. geerky42
    • one year ago
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    Try to isolate tan C.

  4. NY,NY
    • one year ago
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    uh, add 3 to the other side?

  5. geerky42
    • one year ago
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    Yeah you can do that. Just treat \(\tan C\) like \(x\)

  6. geerky42
    • one year ago
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    \[2\tan C = 3\tan C - 1\] Now what?

  7. geerky42
    • one year ago
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    Maybe subtract both sides by \(3\tan C?\)

  8. NY,NY
    • one year ago
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    so, 2tanC - 3tanC = -1 ?

  9. geerky42
    • one year ago
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    Yeah. Now combine like terms.

  10. NY,NY
    • one year ago
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    -1tanC = -1 ?

  11. geerky42
    • one year ago
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    Yep. What's the next step?

  12. geerky42
    • one year ago
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    How to get rid of negative sign?

  13. NY,NY
    • one year ago
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    divide by -1 tanC = 1 sooo tan^-1 (1) = 45

  14. geerky42
    • one year ago
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    Yeah 45 degree is one of answers. Maybe use unit circle?

  15. NY,NY
    • one year ago
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    I think i know how to do it now. Tangent is positive in quadrants 1 and 3, so i find the reference angle in those quadrants, right? and then check if they fit the interval?

  16. geerky42
    • one year ago
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    yeah this is good way to do it.

  17. NY,NY
    • one year ago
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    thank you VERY much :)

  18. geerky42
    • one year ago
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    No problem :0

  19. geerky42
    • one year ago
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    :)*

  20. NY,NY
    • one year ago
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    I got {45 degrees, 225 degrees}. :)

  21. geerky42
    • one year ago
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    |dw:1433288786161:dw|

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