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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.

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    First using cos(a+b)=cos(a)cos(b)-sin(a)sin(b)
    we can write

    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.