HOME

Unit Circle Table Tan

Wiki info

Triangles constructed on the unit circle can also be used to illustrate the periodicity of the trigonometric functions. First, construct a radius OA from the origin to a point P(x1,y1) on the unit circle such that an angle t with 0 < t < π/2 is formed with the positive arm of the x-axis. Now consider a point Q(x1,0) and line segments PQ ⊥ OQ. The result is a right triangle △OPQ with ∠QOP = t. Because PQ has length y1, OQ length x1, and OA length 1, sin(t) = y1 and cos(t) = x1. Having established these equivalences, take another radius OR from the origin to a point R(−x1,y1) on the circle such that the same angle t is formed with the negative arm of the x-axis. Now consider a point S(−x1,0) and line segments RS ⊥ OS. The result is a right triangle △ORS with ∠SOR = t. It can hence be seen that, because ∠ROQ = π − t, R is at (cos(π − t),sin(π − t)) in the same way that P is at (cos(t),sin(t)). The conclusion is that, since (−x1,y1) is the same as (cos(π − t),sin(π − t)) and (x1,y1) is the same as (cos(t),sin(t)), it is true that sin(t) = sin(π − t) and −cos(t) = cos(π − t). It may be inferred in a similar manner that tan(π − t) = −tan(t), since tan(t) = y1/x1 and tan(π − t) = y1/−x1. A simple demonstration of the above can be seen in the equality sin(π/4) = sin(3π/4) = 1/√2.

A-Z Keywords

We have many A-Z keywords for this term. We offer them for FREE unlike many other keyword services, however we do require that you are a registered member to view them all so that the costs will remain lower for Us.

Keyword Suggestions

  • unitymedia
  • unitymedia webmail
  • unitymedia speedtest
  • unitymedia login
  • unitymedia kundencenter
  • united airlines
  • unitybox de login
  • unitymedia störung

Linked Keywords

These are the linked keywords we found.

These are some of the images that we found within the public domain for your "Unit" keyword.


✾ Daniel Padilla And Kathryn Bernardo Photoshoot ✾ ✾ Damon Salvatore Quotes Gif ✾