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3 years ago

5

Find an equation of the tangent line to y = 2 sin x at x = _/6

1 answer:

lys-0071 [83]3 years ago

5 0

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 )

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