How do you evaluate sin(-3π/2)?
1 Answer
Dec 17, 2015
Explanation:
As an angle
#-(3pi)/2# is#3/4# of a circle in a clockwise direction.
#pi/2# is#1/4# of a circle in a counter clockwise direction.
If you think in terms of a unit radius circular segment centered on the origin of the Cartesian plane with its base along the positive X-axis, then the inscribed right-angled triangle at
#pi/2# will have a vertex on the positive Y-axis and both the hypotenuse and opposite side will have a length of#1#