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Romashka-Z-Leto [24]
3 years ago
12

Find the equation of the tangent line to the curve y=2sinx

Mathematics
1 answer:
Mrrafil [7]3 years ago
8 0
 Hello
f(x) = 2sin(x)
f(<span>π/6) = 1 
f'(x) 2cos(x)
f'(</span>π/6) = 2×co(π/6) = 2 × root(3)×0.5  =root(3)
The equation of this tangent line is : y= root(3)(x-π/6)+1
y = root(3)x+1 - π/6(root(x))  <span>in the form y=mx+b
m = root(3)   and   b = </span>1 - π/6(root(x))
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