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Trigonometry: Angles, Degrees, Special Triangles and Pythagorean Theorem - Prof. James A. , Study notes of Trigonometry

The basics of trigonometry, focusing on angles, degrees, special triangles, and the pythagorean theorem. Topics include labeling angles, their measurement in degrees, types of triangles, and the pythagorean equation. Questions include finding the length of sides in right triangles and understanding the relationships between sides in specific triangles.

Typology: Study notes

Pre 2010

Uploaded on 08/18/2009

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MAC 1114 Trigonometry
Section 1.1: Angles, Degrees, and Special Triangles
Angles
Label the following angle. 5&6) List the angles as positive or negative
1) Vertex
2) Initial Side
3) Terminal Side
4) Rotation
7) One complete rotation of a ray is _________ degrees.
8) Angles that measure 90 degrees are called ___________________
9) Straight angles measure __________degrees.
10) Angles that measure between 0 and 90 degrees are called ____________
11) Angles that measure between 90 and 180 degrees are called ______________
12) If two angles have a sum of 90 degrees they are called _______________
13) If two angles have a sum of 180 degrees they are called __________________
Triangles
14) A triangle with three equal sides is called _________________
15) A triangle with two equal sides is called __________________
16) A triangle with no two sides equal is called ________________
17) An acute triangle has ______________________________________________
18) An Obtuse triangle has _____________________________________________
19) A right triangle has ________________________________________________
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MAC 1114 Trigonometry Section 1.1: Angles, Degrees, and Special Triangles Angles Label the following angle. 5&6) List the angles as positive or negative

  1. Vertex
  2. Initial Side
  3. Terminal Side
  4. Rotation
  5. One complete rotation of a ray is _________ degrees.
  6. Angles that measure 90 degrees are called ___________________
  7. Straight angles measure __________degrees.
  8. Angles that measure between 0 and 90 degrees are called ____________
  9. Angles that measure between 90 and 180 degrees are called ______________
  10. If two angles have a sum of 90 degrees they are called _______________
  11. If two angles have a sum of 180 degrees they are called __________________ Triangles
  12. A triangle with three equal sides is called _________________
  13. A triangle with two equal sides is called __________________
  14. A triangle with no two sides equal is called ________________
  15. An acute triangle has ______________________________________________
  16. An Obtuse triangle has _____________________________________________
  17. A right triangle has ________________________________________________ 1

MAC 1114 Trigonometry Section 1.1: Angles, Degrees, and Special Triangles Pythagorean Theorem

  1. Write the equation used for the Pythagorean theorem ______________________________
  2. Find the length of the hypotenuse of a right triangle given the side lengths of 7 and 15.
  3. Find the length of the unknown side of a right triangle given a hypotenuse with length 22. and a given side length of 9.
  4. Describe the relationship between the lengths of the sides of a 30 – 60 – 90 right triangle and give a specific numeric example of one.
  5. Describe the relationship between the lengths of the sides of a 45 – 45 – 90 right triangle and give a specific numeric example of one.
  6. What is the Golden Ratio? 2