What is the equation of the tangent line for \sin(x)

Zain Padilla

Zain Padilla

Answered question

2022-02-12

What is the equation of the tangent line for sin(x) at the point x=2?

Answer & Explanation

Bordadwayjpf

Bordadwayjpf

Beginner2022-02-13Added 17 answers

y=xcos(2)2cos(2)+sin(2)
or, if you prefer:
y=xcos(2)+(sin(2)2cos(2))
For f(x)=sinx, we know f(x)=cosx,
so at the point (2,sin(2)), the slope of the tangent line is:
m=f(2)=cos(2)
The equation of the line through (2,sin(2)), with slope cos(2) is
y=xcos(2)2cos(2)+sin(2)

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