Explanation:
Midline: it is a horizontal line where half of the function above it and half of the function is below it.
Amplitude: It means how far the function varies from the midline to the above and below.
Period: the distance between two consecutive maximum points (minimum points).
3) From the graph,

Answer: Midline=1
1) Amplitude

2) Periods

4) The trigonometric equation is,

Answer:
Step-by-step explanation:
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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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