Geometry · Chapter 8 · Lesson 8.6 · Printable PDF

Trig Values of the Special Right Triangles Worksheet with Answer Key

7 problems on trig values of special right triangles: exact values for 30, 45 and 60 degrees, solving for angles, ordering values, a rectangle diagonal, a conveyor belt, and a mixed-up triangle. 2 pages, with a worked answer key.

7 problems2 pagesanswer key
Printable Trig values of the special right triangles worksheet with answer key - Geometry (Page 1 PDF preview)
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What's on the worksheet

  1. Evaluate each trig expression exactly, with denominators rationalized:
    2\cos 30^\circ \tan 30^\circ\sin 45^\circ \cos 45^\circ\tan^2 60^\circ - 1\dfrac{\cos 45^\circ}{\sin 30^\circ}1 - 2\sin^2 30^\circ
  2. Solve each equation for the acute angle in degrees:
    2\sin\theta - 1 = 0\sqrt{3}\tan\theta = 34\cos^2\theta = 22\cos\theta = \sqrt{3}4\sin^2\theta - 3 = 0
  3. Put five trig values in order from least to greatest without a calculator.
  4. Find the side and angle of a rectangle with a diagonal of 12 and a side of 6.
  5. Evaluate each expression exactly and say which table value it equals.
  6. Find the height and floor reach of a 14 m conveyor belt at 30 degrees.
  7. Find what is wrong with Ava's redrawn 30-60-90 triangle and fix her values.

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