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8.4 Trigonometry

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Title: Trigonometry Author: Valued Customer Last modified by: Laura B. Koffman Created Date: 1/31/2007 10:49:40 PM Document presentation format: On-screen Show (4:3) – PowerPoint PPT presentation

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Title: 8.4 Trigonometry


1
8.4 Trigonometry
  • Assignment 18 8.4 WB Pg. 103 1 14 all

2
Trigonometry
  • The word trigonometry comes form the Greek words
    that mean triangle measurement
  • In trigonometry we will be finding the lengths of
    the sides of Right triangles and the measures of
    the acute angles.

A
  • If you are looking at acute angle A then you
    would name the sides represented in the diagram
    to the left.

hypotenuse
adjacent
C
B
opposite
3
Sine
  • Sin A

A
hypotenuse
adjacent
opposite
hypotenuse
opposite
A
adjacent
4
Cosine
  • Cos A

A
hypotenuse
adjacent
opposite
hypotenuse
opposite
A
adjacent
5
Tangent
  • Tan A

A
adjacent
hypotenuse
hypotenuse
opposite
opposite
A
adjacent
6
Steps to Solve
  • 1. Select your Reference Angle (must be acute)
  • 2. Name the sides of the Triangle with regards
    to the reference angle
  • Opposite, Adjacent, Hypotenuse
  • 3. Select the ratio you need to use
  • Sine, Cosine, or Tangent
  • 4. Write the equation to solve the problem
  • Tan A Sin A Cos A
  • 5. Solve

7
Find y correct to the nearest degree.
8
Find x if E is 24
9
Find x
10
Find y and K
B
y
l
5
K
L
12
11
Examples
  • Find Tan X Tan Y
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