# Science:Math Exam Resources/Courses/MATH102/December 2013/Question A 05

MATH102 December 2013
Other MATH102 Exams

### Question A 05

Consider the function ${\displaystyle y=\cos(x)}$ and the tangent line to this function at the point ${\displaystyle x=\pi /2}$. Using that tangent line as a linear approximation of the function would lead to

(a) overestimating the value of the actual function for any nearby ${\displaystyle x}$.

(b) underestimating the value of the actual function for any nearby ${\displaystyle x}$.

(c) overestimating the function when ${\displaystyle x>\pi /2}$ and underestimating the function when ${\displaystyle x<\pi /2}$.

(d) overestimating the function when ${\displaystyle x<\pi /2}$ and underestimating the function when ${\displaystyle x>\pi /2}$.

(e) overestimating the function when ${\displaystyle x<0}$ and underestimating the function when ${\displaystyle x>0}$.

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