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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
Find an equation of the tangent line to the curve at the given point. y = sin(sin(x)), (π, 0)?
Solution:
In geometry, the tangent line (or tangent) means a line or plane that intersects a curved line or surface at exactly one point.
Given:
y = sin(sin(x))
By chain rule we get,
y' = cos (sin x) × cos x
When x = π
y'(π) = cos (sin π) × cos π
So we get,
y’(π) = cos (0) × (-1)
y’(π) = -1
We know that the equation of a tangent is
y - y1 = m (x - x1)
Substituting the values
y - 0 = - 1(x - π)
y = -x + π
y = π - x
Therefore, the equation of the tangent line is y = π - x.
Find an equation of the tangent line to the curve at the given point. y = sin(sin(x)), (π, 0)?
Summary:
An equation of the tangent line to the curve at the given point y = sin(sin(x)), (π, 0) is y = π - x.
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