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    Writing trigonometric functions as algebraic expressions

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    Write cos(arccosx + arctany) as an algebraic expression in x and y.

    © BrainMass Inc. brainmass.com March 4, 2021, 5:38 pm ad1c9bdddf
    https://brainmass.com/math/basic-algebra/writing-trigonometric-functions-algebraic-expressions-4050

    Solution Preview

    First using cos(a+b)=cos(a)cos(b)-sin(a)sin(b)
    we can write
    cos(arccosx+arctany)=
    cos(arccosx)cos(arctany)-sin(arccosx)sin(arctany)
    =xcos(arctany)-sqrt(1-x^2)sin(arctany)

    Above I used cos(arccosx)=x and ...

    Solution Summary

    This shows how to translate a trigonometric function into an algebraic expression. The algebraic expressions are examined.

    $2.19

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