samantha7742
samantha7742 samantha7742
  • 16-10-2020
  • Mathematics
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Which of the following is an equation of the tangent line to y=sin x +cos x at x=3.14/2

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oliviab27
oliviab27 oliviab27
  • 16-10-2020

Answer:

y o = 2 sin ( π/6 ) = 2 * 1/2 = 1

x o = π / 6

y ` = 2 cos x = 2 cos (π/6) = 2 * √3 / 2 = √ 3;

m = √3

An equation of the tangent line is:

y - y o = m ( x - x o )

Answer:

y - 1 = √3 ( x - π/6 )

Step-by-step explanation

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