Problem 58 of 7
Explain how the Pythagorean identity follows from unit circle point The relationship x^2 + y^2 = 1 for points on the unit circle.
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
connect x=cos, y=sin, and x^2+y^2=1.
Hidden until you reveal it.
Explanation must connect x=cos(theta), y=sin(theta), and x^2+y^2=1.
Enter your answer
Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. Start with the unit circle equation x^2+y^2=1.
2. Use x=cos(theta) and y=sin(theta).
3. Substitute to obtain cos^2(theta)+sin^2(theta)=1.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Stating the identity without explaining its source.