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Math Help - solving trig tangent equation.

  1. #1
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    solving trig tangent equation.

    Assuming B is a positive acute angle, find the value of B satisfying the equation tan(B + 8) = cot(2B + 22)


    well its very confusing and i cant solve it

    here is what ive doe

    ive expanded tan (B + 8) to

    (tan B tan 8 ) / ( 1-tanBtan8) = (1-tan2Btan22) / (tan 2B tan 22)

    and when i cross multiply (to remove denominator,, its gets messeup,, and its wrong..

    ive inputted the equation in a calculator and B is equal to 20 degrees.

    can someone show me the right and completed solution for me to understand it.. simple solution will do

    thanks a lot
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  2. #2
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    Use the identity tan(90 - B) = cot(B)
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  3. #3
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    but how
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  4. #4
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    tan(B+8) = cot(2B+22) = tan(90 - 2B - 22)

    B+8 = 90 - 2B - 22

    Now solve for B.
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