If a^2 + b^2 = c^2, why is the point (a/c, b/c) on the unit circle?
Added by Cheren J.
Step 1
If a^2 + b^2 = c^2, then we can rewrite it as (a/c)^2 + (b/c)^2 = 1. Now, let's consider the point (a/c, b/c) on the coordinate plane. The x-coordinate of this point is a/c, and the y-coordinate is b/c. Using the Pythagorean theorem, we know that for any point Show more…
Show all steps
Close
Your feedback will help us improve your experience
Kathleen Carty and 51 other Algebra and Trigonometry educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
(a) The unit circle is the circle centered at___________with radius ___________ (b) The equation of the unit circle is_____________ (c) Suppose the point P(x, y) is on the unit circle. Find the missing coordinate: $\begin{array}{ll}{\text { (i) } P(1,} & {\text { (ii) } P(, 1)} \\ {\text { (iii) } P(-1,} & {\text { (iv) } P(\ldots-1)}\end{array}$
Ma. Theresa A.
a. Writing Explain why $x^{2}+y^{2}=0$ does not represent a circle. b. Critical Thinking What does the equation represent?
Quadratic Relations And Conic Sections
Circles
Reasoning Let $P(x, y)$ be any point on the circle with center $(0,0)$ and radius $r .$ Choose a method for proving that $x^{2}+y^{2}=r^{2} .$
Recommended Textbooks
Introductory and Intermediate Algebra for College Students 4th
Prealgebra
Prealgebra and Introductory Algebra
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD