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Pc 4.4 notes
Pc 4.4 notes
Pc 4.4 notes
Pc 4.4 notes
Pc 4.4 notes
Pc 4.4 notes
Pc 4.4 notes
Pc 4.4 notes
Pc 4.4 notes
Pc 4.4 notes
Pc 4.4 notes
Pc 4.4 notes
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Pc 4.4 notes

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  • 1. 4.4 TrigonometricValues of Any Angle Essential Question: How do you find the trigonometric values of any angle? 1
  • 2. Find the sine, cosine, and tangent of the following angles and determine what quadrant they terminate in.Angle  Quadrant  sin  cos  tan 130°  II  0.766  –0.643  –1.192  290°  IV  –0.940  0.342  –2.747  5π/4  III  –0.707 –0.707  1  2π/9  I  0.643  0.766  0.839  2
  • 3. 3
  • 4. Remember that…All Students Take Calculus 4
  • 5. + or -? 5
  • 6. Ex. 1﴿ ﴾–2, 3﴿ is a point on the terminal side of ϴ.  Find the six trigonometric functions for ϴ. 6
  • 7. Ex. 2﴿ sin ϴ = 4/5 and tan ϴ < 0.  Find cos ϴ. 7
  • 8. Ex. 3﴿ tan ϴ = 5/6 and sin ϴ < 0.  Find sec ϴ. 8
  • 9. The one­handed trick…When evaluating trig functions:Step 1﴿ Find the trig function for the reference angleStep 2﴿ Determine the sign ﴾+ or ­﴿ for the value based on the terminating quadrant.  More info at http://function-of-time.blogspot.com/2009/08/trig-reference-angle- cheat-hand.html 9
  • 10. Ex. 4﴿ Evaluate without a calculator.  10
  • 11. Going Backwards…Ex. 5﴿ Find the value﴾s﴿ for ϴ that make the statement true. 11
  • 12. Assignment:4.4 p. 318 #1, 5, 7, 11, 14, 17­23 ﴾odd﴿, 29­57 ﴾odd﴿, 61, 62, 81­85 ﴾odd﴿ 12

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