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frnchfries2000
Lv 4
frnchfries2000 asked in Education & ReferenceHomework Help · 10 years ago

Math - Simplify: arctan (1/3) + arctan (1/2)?

Is there any formula for adding arctans? Please give answer in radians

2 Answers

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  • Anonymous
    10 years ago
    Favorite Answer

    Here is the formula to add the inverse of tangent...

    arctan(x) + arctan(y) = arctan((x + y)/(1 - xy))

    arctan(1/3) + arctan(½) = arctan(1/3 + ½)/(1 - 1/3 * ½)

    = 6/5 * arctan(5/6)

    Impossible to convert into radians since the expression is irrational.

    I hope this helps!

    Source(s): Knowledge
  • norcekri
    Lv 7
    10 years ago

    Yes

    arctan(a) + arctan(b) = arctan((a+b) / (1-ab))

    This follows from the tangent addition law.

    Source(s): http://en.wikipedia.org/wiki/List_of_trigonometric...
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