8 8b Trig Intro2

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sine cosine tangent

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8 8b Trig Intro2

  1. 1. Identify the side by Trig Focus: review the use of sin, cos, and tan ratios (sohcahtoa)
  2. 2. Identify the side that is opposite angle YZX X Z Line segment XY st Is opposite angle Z nuse fir hy pote bility ntif y the e possi : Ide ates on Hint limin Y e that sohcahtoa
  3. 3. Identify the side that is adjacent to angle YZX Line segment XZ Is adjacent to angle Z X Z Y sohcahtoa
  4. 4. Identify the sides that are adjacent to AND opposite angle IHU I Line segment IU Is opposite to angle IHU Line segment IH Is adjacent to angle IHU U H hypotenuse sohcahtoa
  5. 5. How long… Opposite of ACB is line segment AB – 12 units 1. …is the side opposite angle ACB? 2. … is the hypotenuse? A hypotenuse is line segment AC – 15 units 3. What is the sin of angle ACB? 4. How long is the side 15 units adjacent to angle ACB? 12 units 5. What is cos of angle Sin= 12/15 = .8000 ACB? Cos= 9/15 = .6000 C B 9 units sohcahtoa
  6. 6. How long… 1. …is the side opposite angle 1? x 2. … is the hypotenuse? hypotenuse is line segment AC 7 units 3. What is the sin of angle 25 units 1? Sin= 24/25 = .9600 its How long is the side Z un 4. 25 adjacent to angle 1? u nits 24 5. What is cos of angle 1? Opposite of angle 1 is 24 units Cos= 7/25 = .2800 Y sohcahtoa
  7. 7. What is… 1. the cos of angle 2? 2. the sin of angle 2? 3. the tan of angle 2? Cos= 8/10 = .8000 Sin= 6/10 = .6000 Tan= 6/8 = .7500 8 units h m 6 units i 10 units sohcahtoa
  8. 8. Use your Chart for the next two slides PAGE 668
  9. 9. 8 Solve for x. sin 45° = h 8 .7071 8 .7071 = = h 1 h X units (8 ×1) = .7071h 8 units 11.31units 8 .7071h = .7071 .7071 sohcahtoa
  10. 10. What is the measure of side BT (the 52 degree angle)? Tan 52= x/18  52 degree sin  .7880 1.2799 = x/18  52 degree cos  .6157 x =xxx units 18 units  52 degree tan b  1.2799 r x units t sohcahtoa

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