Answer:
1) It has rotational symmetry with an angle of rotation of 90 degrees.
TRUE, it has rotational degree, FALSE, angle of rotation is 180 degrees
2)It has no reflection symmetry. FALSE
3)It has reflection symmetry with many planes of symmetry.
TRUE
4) It has no rotational symmetry.
FALSE
Step-by-step explanation:
Rotational Symmetry is when an object is rotated around a center point (turned) a number of degrees and the object appear the same.
Symmetry Order = Number of turns it takes to get to its similar position.
Reflected Symmetry : When a line is drawn which divides the shape in to two equal halves it is called reflective symmetry.
Consider the given figure:
1) It has rotational symmetry with an angle of rotation of 90 degrees.
TRUE, it has rotational degree.
FALSE, it regains its identical shape in 90 degrees, it is in 180 degrees.
2)It has no reflection symmetry.
FALSE, the given figure has reflection symmetry along both horizontal and vertical axis.
3)It has reflection symmetry with many planes of symmetry.
TRUE, it has inflectional symmetry in Horizontal as well a in vertical plane.
4) It has no rotational symmetry.
FALSE, it has a rotational symmetry of ORDER 2
(using 
)
so we can replace the sin²x in the LHS expression as follows
which is the RHS.