Which of the following is the best linear approximation for f(x) = sin(x) near x = π seconds?

y = –x + π − 1
y = –1
y = –x + π
y = –x − π

Answer should be

y = –x + π 

f(π) + f'(π)(x - π)
but
f(π) = 0 and f'(π) = -1
so 
f(π) + f'(π)(x - π)
= 0 + -1(x - π)
= -x + π

hope it helps

The first answer is correct

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