sin^2x + cos^2x =
The equation that you have provided, sin^2x + cos^2x, is a fundamental trigonometric identity known as the Pythagorean identity
The equation that you have provided, sin^2x + cos^2x, is a fundamental trigonometric identity known as the Pythagorean identity. It states that for any angle x, when you square the sine (sin) of the angle and add it to the square of the cosine (cos) of the same angle, the result will always be equal to the number 1.
Mathematically, we can represent this as:
sin^2x + cos^2x = 1
This identity holds true for all angles x, because of the unique relationship between the sine and cosine functions. The sum of their squares is always equal to 1, regardless of the value of x.
It is essential to understand and remember this identity as it is a fundamental concept in trigonometry that is used extensively in solving trigonometric equations and proving other trigonometric identities.
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