Answer: X=0
Step-by-step explanation:
Answer: 60°
Step-by-step explanation:
When a figure has a rotational symmetry, it maps onto itself under rotation about a point at the centre.
When an hexagon rotate onto itself,
the vertices must cover to vertices and from sides to sides. There are six angles in a hexagon and the sum of the angles is 360°. Therefore, each angle has a measure of 360°/6 is equal to 60°.
Rotating subsequently by 60 degree will rotate a hexagon onto itself. A hexagon has 6 rotations, that is, a hexagon has a rotational symmetry of 6 and at angle 60°, the hexagon will rotate onto itself.
Apply l'Hopital's rule:
where
![\displaystyle\frac{\mathrm d}{\mathrm dx}\left[\int_\pi^x(1+\tan(t))\,\mathrm dt\right]=1+\tan(x)](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dx%7D%5Cleft%5B%5Cint_%5Cpi%5Ex%281%2B%5Ctan%28t%29%29%5C%2C%5Cmathrm%20dt%5Cright%5D%3D1%2B%5Ctan%28x%29)
follows from the fundamental theorem of calculus.
Answer:
Step-by-step explanation:
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