A circle is a geometric object that has symmetry about the vertical and horizontal lines through its center. When the circle is a unit circle (of radius 1) centered on the origin of the x-y plane, points in the first quadrant can be reflected across the x- or y- axes (or both) to give points in the other quadrants.

That is, if the terminal ray of an angle intersects the unit circle in the first quadrant, the point of intersection reflected across the y-axis will give an angle whose measure is the original angle subtracted from the measure of a half-circle. Since the measure of a half-circle is π radians, the reflection of the angle π/6 radians will be the angle π-π/6 = 5π/6 radians.

Reflecting 1st-quadrant angles across the origin into the third quadrant adds π radians to their measure. Reflecting them across the x-axis into the 4th quadrant gives an angle whose measure is 2π radians minus the measure of the original angle.

7 0

3 years ago

Determine algebraically whether the function is even, odd, or neither even nor odd. f as a function of x is equal to 14 times th

svlad2 [7]

Replace x with -x
if you get same function, function is even
if get negative of original, function is odd
if niehter, then neither

if replace with -x
we get the negattive of it or -14 times cube root of x

answer is it is odd function

6 0

3 years ago