# Calculus

Which of the following is the best linear approximation for
f(x)=cos(x) near x= π/2 ?

a) y= x - π/2
b) y= -x + π/2
c) y= -x + π/2 + 1
d) y= x - π/2 +1

1. 👍 0
2. 👎 0
3. 👁 188
1. y(π/2) = 0
y' = -sinx
y'(π/2) = -1
so, using the point-slope form of the line,
y = -1(x-π/2)

1. 👍 0
2. 👎 0

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