`y = sin(x) + sin^2(x), (0, 0)` Find an equation of the tangent line to the curve at the given point.

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growley52 | College Teacher | (Level 1) Adjunct Educator

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y = x

`y' = cos(x) + 2sin(x)cos(x).`

x = 0

`y' = 1 + 0 = 1`

Substituting into the y-intercept form of the line, 

`y = 1x + 0 = x`