anti of csc^2x
The reciprocal of cosecant squared (csc^2) of x is equal to the square of the sine (sin^2) of x
The reciprocal of cosecant squared (csc^2) of x is equal to the square of the sine (sin^2) of x.
To prove this, we need to start with the reciprocal identity for sine and cosine:
1 = sin^2(x) + cos^2(x)
Now, divide both sides of the equation by sin^2(x):
1/sin^2(x) = (sin^2(x) + cos^2(x))/sin^2(x)
Using the Pythagorean identity sin^2(x) + cos^2(x) = 1, we can simplify the equation:
1/sin^2(x) = 1/sin^2(x)
Since the left side of the equation is equal to the right side, we can conclude that the reciprocal of csc^2(x) is sin^2(x).
Therefore, the answer to the question “anti of csc^2x” is sin^2(x).
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