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Geometry · Chapter 8 · Lesson 8.8 · Printable PDF

Inverse Trigonometric Ratios Worksheet with Answer Key

8 problems on inverse trigonometric ratios: solving for an acute angle, exact angles of 30, 45 and 60 degrees, solar panels, ski runs, a student's error, and ordering angles without a calculator. 2 pages, with a worked answer key.

8 problems2 pagesanswer key
Printable Inverse trigonometric ratios worksheet with answer key - Geometry (Page 1 PDF preview)
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What's on the worksheet

  1. Solve each equation for an acute angle to the nearest tenth of a degree:
    9\sin\theta = 4\dfrac{12}{\cos\theta} = 173\tan\theta + 2 = 9\dfrac{\tan\theta}{4} = 0.1510 - 6\cos\theta = 5
  2. Decide whether each right triangle's angle is exactly 30, 45 or 60 degrees.
  3. Show a triangle is right and find an angle three ways.
  4. Find the tilt of a solar panel and the post height for a different angle.
  5. Find the sides and all three angles of a triangle with a perpendicular from A.
  6. Find what Mateo got wrong in finding angle A and correct it.
  7. Put three inverse trig angles in order without a calculator.
  8. Find the angle of a ski run section and decide if it is marked experts only.

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The free lesson teaches it with worked examples and practice problems.

Inverse trigonometric ratios: the lesson ›

More Chapter 8 worksheets: Right triangles and trigonometry