The Nature of Mathematics, 12th Edition
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Section 7.5: Right-Triangle Trigonometry

7.5 Outline

A.  Pythagorean theorem
B. Trigonometric ratios
      1. sine
      2. cosine
      3. tangent
C. Inverse trigonometric ratios
      1. calculator calculating
      2. inverse trigonometric ratios
          a. inverse tangent
          b. inverse cosine
          c. inverse sine
D.  Applications
      1. angle of elevation
      2. angle of depression

7.5 Essential Ideas

Pythagorean Theorem
For any right triangle with sides a and b and hypotenuse c, then a^2 + b^2 = c^2.
Also, if a, b, and c are sides of a triangle so that a^2 + b^2 = c^2, then the triangle is right triangle.

Trigonometric Ratios

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