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Lesson # 35 Trigonometric Ratios

Lesson # 35 Trigonometric Ratios. Recall that in the past finding an unknown side of a right triangle required the use of Pythagoras theorem. By using trig ratios we can now solve unknown sides of a triangle and determine all the angles . No more Pythag!.

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Lesson # 35 Trigonometric Ratios

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  1. Lesson # 35 Trigonometric Ratios

  2. Recall that in the past finding an unknown side of a right triangle required the use of Pythagoras theorem. By using trig ratios we can now solve unknown sides of a triangle and determine all the angles. No more Pythag! Eg.1- First we must label the sides properly Hypotenuse Hypotenuse Adjacent Opposite Opposite Adjacent The adjacent side always touches the angle.

  3. Eg. 2 – To remember the trig ratio formulas think SOH CAH TOA adj opp opp cosq = tanq = sinq = hyp adj hyp q => theta is used to represent the angle in degrees Eg. 3 – Calculate to 3 decimal places 0.454 1.000 d) sin 90o = a) sin 27o = 0.364 0.559 b) cos 56o = e) tan 20o = 0.883 c) tan 78o = 4.705 f) sin 62o =

  4. What cos60o tells us is that if the angle is 60 degrees the ratio of the length of the adjacent over the hyp is 0.5. 2 8 3 48 hyp hyp opp opp 60o 60o 1 adj 4 adj To determine the unknown angle press sin-1, cos-1, or tan-1 Eg. 4 – Calculate the angle to 1 decimal place a) sinq= 1/2 d) sinq= 1 30o 90o e) tanq= 0.43 23.3o 72.5o b) cosq= 0.3 f) sinq= 0.71 c) tanq= 8.1 45.2o 83o

  5. Eg. 5 Determine unknown measure d)

  6. Homework Pg. 228 #2,3,4ab,6-8

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