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Trigonometry
• How can I find trigonometric ratios for right triangles?
• About triangle measurements

• Uses ratios of sides of a triangle to describe an angle

• Sine, Cosine and Tangent

• Abbreviated as sin, cos and tan
• Which side is adjacent to angle B?
• Which side is opposite to angle B?
• Where is the hypotenuse?

                         A


                                       c
                        b


                         C             a   B
•




    A


        c
    b


    C   a   B
•




    A


        c
    b


    C   a   B
•




    A


        c
    b


    C   a   B
•
• Find sin, cos, and tan for B




                          B


                                 13
                         5


                          C      12   A
• Find sin, cos and tan for A and B




                         A


                                      25
                         7


                         C            24   B
• Worksheet
• How can I use trigonometry to solve triangle problems?
• Calculator
• (typically 4 places, round to the nearest ten-thousandth

• sin 45
• cos 36
• tan 23
•
• A plane is one mile above sea level when it begins to
  climb at a constant angle of 3° for the next 60 ground
  miles. About how far above sea level is the plane after its
  climb?
• To guard against a fall, a ladder should make an angle of
  75° or less with the ground.

  • A. What is the maximum height that a 20-foot ladder can reach
    safely?
  • B. How far from the building is the base of the ladder at maximum
    height?
• Worksheet

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Geometry/Notes 7.4

  • 2. • How can I find trigonometric ratios for right triangles?
  • 3. • About triangle measurements • Uses ratios of sides of a triangle to describe an angle • Sine, Cosine and Tangent • Abbreviated as sin, cos and tan
  • 4. • Which side is adjacent to angle B? • Which side is opposite to angle B? • Where is the hypotenuse? A c b C a B
  • 5. A c b C a B
  • 6. A c b C a B
  • 7. A c b C a B
  • 8.
  • 9. • Find sin, cos, and tan for B B 13 5 C 12 A
  • 10. • Find sin, cos and tan for A and B A 25 7 C 24 B
  • 12. • How can I use trigonometry to solve triangle problems?
  • 13. • Calculator • (typically 4 places, round to the nearest ten-thousandth • sin 45 • cos 36 • tan 23
  • 14.
  • 15.
  • 16.
  • 17. • A plane is one mile above sea level when it begins to climb at a constant angle of 3° for the next 60 ground miles. About how far above sea level is the plane after its climb?
  • 18. • To guard against a fall, a ladder should make an angle of 75° or less with the ground. • A. What is the maximum height that a 20-foot ladder can reach safely? • B. How far from the building is the base of the ladder at maximum height?