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Math Help - Please advise exact answer of this prob.

  1. #1
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    Please advise exact answer of this prob.

    Q. The maximum value of θ until which the approximation sinθ ≈ θ holds to within 10%
    error is
    (A) 10 degree
    (B) 18 degree
    (C) 50 degree
    (D) 90 degree

    according to me answer should be B i.e. 18 degree but my teacher gave answer of this C i.e. 50 degree but this is unacceptable for me as in this approximation error would be more than 13%.

    Please help me...........thanks!!
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  2. #2
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    Re: Please advise exact answer of this prob.

    A good place to start might be to use the Taylor Series for sin(x).
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