sin^2x + cos^2x =
The expression you provided, sin^2x + cos^2x, represents a trigonometric identity called the Pythagorean identity
The expression you provided, sin^2x + cos^2x, represents a trigonometric identity called the Pythagorean identity. This identity holds true for all values of x.
By using the Pythagorean identity, we can simplify the expression:
sin^2x + cos^2x = 1
This means that the sum of the squares of the sine and cosine of any angle x is always equal to 1. This is a fundamental property in trigonometry and is derived from the geometric relationship between the sides of a right triangle.
Understanding and using trigonometric identities like the Pythagorean identity is important in solving trigonometric equations and problems.
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