sin^2x
(1-cos2x)/2
The trigonometric function sin(x) represents the ratio of the length of the opposite side to the length of the hypotenuse of a right triangle with an angle x. Therefore, sin^2(x) represents the square of this ratio.
Using basic trigonometric identities, we can express sin^2(x) as:
sin^2(x) = (1 – cos(2x))/2
This identity helps to simplify computations involving sin^2(x). Additionally, it is important to remember that sin^2(x) is always non-negative and has a maximum value of 1.
It is also important to note that the sine function is periodic with a period of 2π. Therefore, the value of sin^2(x) will repeat after every 2π.
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