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Right Triangle Trigonometry

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Section 4.3 Right Triangle Trigonometry Overview In this section we apply the definitions of the six trigonometric functions to right triangles. – PowerPoint PPT presentation

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Title: Right Triangle Trigonometry


1
Section 4.3
  • Right Triangle Trigonometry

2
Overview
  • In this section we apply the definitions of the
    six trigonometric functions to right triangles.
  • Before we do that, however, lets remind
    ourselves about the Pythagorean Theorem

3
A Picture
4
SOH-CAH-TOA
5
An Example
State the six trigonometric values for angles C
and T.
6
Complimentary Angles
  • In a right triangle, the two acute angles are
    complimentarythat is, their angle measures add
    up to equal 90 degrees.
  • Complimentary angles in a right triangle have
    special relationships in terms of their
    trigonometric values

7
Cofunctions
  • The sine of an angle is equal to the cosine of
    its compliment (and vice versa).
  • The tangent of an angle is equal to the cotangent
    of its compliment (and vice versa).
  • The secant of an angle is equal to the cosecant
    of its compliment (and vice versa).

8
Special Right Triangles
  • One special right triangle, the 30-60-90, is
    formed from an equilateral triangle with sides of
    1 unit

9
Special Right Triangles, continued
  • Another right triangle, the 45-45-90, is formed
    by drawing a diagonal in a square with sides of 1
    unit

10
Solving Right Triangles
  1. Write the appropriate trigonometric relationship
    for the unknown value (there may be more than
    one).
  2. Use your scientific calculator to find the
    appropriate trigonometric value or angle (make
    sure your calculator is in degree mode).

11
Examples
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