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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