Precalculus · Chapter 3 · Lesson 3.7 · Printable PDF · Free

Trig Functions on the Unit Circle Worksheet with Answer Key

7 problems on trig functions on the unit circle. 2 pages, with a worked answer key and a one-page lesson handout. Free to download, no sign-in.

7 problems2 pagesanswer keylesson handout
Printable Trig functions on the unit circle worksheet with answer key - Precalculus (Page 1 PDF preview)
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What's on the worksheet

  1. The terminal side of an angle θ in standard position passes through the given point.
    (−5, −12)(20, −21)(−15, 8)(−6, −4)(\sqrt{3}, -1)
  2. Find, to the nearest hundredth, the point where the terminal side of θ meets the circle of radius r centered at the origin.
    r = 5, \theta = 200^\circr = 10, \theta = 3r = 6, \theta = -1.2r = 4, \theta = 470^\circ
  3. The terminal point of an angle θ has x-coordinate 14 and lies below the x-axis.
  4. The terminal side of an angle θ passes through the point (k, -24), and θ = 513.
  5. The terminal side of an angle θ crosses the circle of radius 17 centered at the origin at the point (8, −15).
  6. The terminal side of an angle θ lies along the line 5x + 12y = 0 and is below the x-axis.
  7. The glass plate in a microwave oven turns on a round turntable.

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