Question

On a circle, why is cos(θ)=xrcos(θ)=xr equivalent to cos(θ)=adjacenthypotenusecos(θ)=adjacenthypotenuse ? On a unit circle, is the...

  1. On a circle, why is cos(θ)=xrcos(θ)=xr equivalent to cos(θ)=adjacenthypotenusecos(θ)=adjacenthypotenuse ?
  2. On a unit circle, is the x-coordinate the same ascos(θ)cos(θ) and why is the y-coordinate the same as sin(θ)sin(θ) ?
  3. Explain how to how to evaluate sin(300∘)sin(300∘) using a reference triangle. Your explanation should include a drawing that shows...
    1. The unit circle
    2. The angle in standard form
    3. The reference angle and reference triangle
    4. The coordinates of the point
  4. Draw a unit circle from scratch (just like in the video above). For each angle, show the radian measure and (x, y) coordinates. Scan and upload your picture here.

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