Simplify and show work step by step
cos²θ + sin² = ???
To simplify the expression cos²θ + sin²θ, we can use the trigonometric identity known as the Pythagorean identity, which states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
The Pythagorean identity for trigonometric functions can be written as:
sin²θ + cos²θ = 1
Therefore, to simplify cos²θ + sin²θ, we can replace it with 1, using the property of the Pythagorean identity.
cos²θ + sin²θ = 1
So the simplified expression is 1.