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Math Help - How would you solve this equation?

  1. #1
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    How would you solve this equation?

    tan12 - cot78

    can someone please explain the theory and method

    trying to help my younger bro, any help would be appreciated
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  2. #2
    Senior Member vincisonfire's Avatar
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    If it's an equation you usually have an unknown and an equal sign.
    e.g.  tan(12x) = cot(78x) solve for x.
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  3. #3
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    Hellom shayanbaig_3!

    I'll take a guess as what you meant . . .


    Evaluate: . \tan12^o - \cot78^o
    Note that 12 and 78 are complementary angles.
    That is, they are in the same right triangle.
    Code:
                    *
                   /|
                  / |
                 /  |
                /12|
               /    |y
              /     |
             /      |
            /       |
           / 78    |
          * - - - - *
               x

    We see that: . \begin{array}{ccccc}\tan12^o &=& \dfrac{opp}{adj} &=& \dfrac{x}{y} \\ \\[-3mm] \cot 78^o &=& \dfrac{adj}{opp} &=&\dfrac{x}{y} \end{array} . . . . They are equal !


    Therefore: . \tan12^o - \cot78^o \;=\;0

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