The formula looks like trans- 2-butene. The c atoms working left to right will have sp3 sp2 sp2, sp3 hybridisation. the bond angles will be tetrahedral on the sp3 centers, 120 0 on the sp2 centres which have a planar shape, with all four substituents lying in the same plane. Good picture in wikipedia.
The actual bond angles will deviate slightly.
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CH3 is a trigonal planar and has a hybridization of sp3
VSEPR notation is AX3E Tetra Pyramidal angle is 109.5 degrees sp3 hybridization VSEPR notation is AX3E Tetra Pyramidal angle is 109.5 degrees sp3 hybridization
Double angle and half angle in mathematics refer to the formulas used to express trigonometric functions of angles equal to 2a or 1/2a. These are known as the double-angle and half-angle formulas.
an angle subtended by an arc is double at the center
No, doubling the angle of incidence itself will not cause a doubling of the angle of refraction.