# Right Triangle Trigonometry - PowerPoint PPT Presentation

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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

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