The Pythagorean Identity | Understanding the Equation cos² θ + sin² θ =

cos² θ + sin² θ =

The equation “cos² θ + sin² θ =” is an example of the Pythagorean identity

The equation “cos² θ + sin² θ =” is an example of the Pythagorean identity. The Pythagorean identity is a fundamental trigonometric identity that relates the values of the cosine and sine functions.

In this specific equation, cos² θ + sin² θ =, the left-hand side represents the sum of the squares of the cosine and sine of an angle θ. The right-hand side is left blank, indicating that there is no specific value or expression provided to complete the equation.

However, regardless of the missing value on the right-hand side, the equation cos² θ + sin² θ = always holds true. According to the Pythagorean identity, the sum of the squares of the cosine and sine of any angle is always equal to 1. This identity is derived from the Pythagorean theorem in geometry.

So, the completed equation would be cos² θ + sin² θ = 1. This identity is fundamental in trigonometry and is often used in various calculations and proofs involving trigonometric functions.

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