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Introduction to trigonometry

Section 8.2. Introduction to trigonometry. “ triAngle Measures”. Objective : To find the length of a side of a right triangle, given one side and one acute angle. Recall…. Make a guess…. 60°. Find the value of x. 10. x. 55°. Now make a conjecture about the value of y in the figure.

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Introduction to trigonometry

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  1. Section 8.2 Introduction to trigonometry “triAngle Measures” Objective: To find the length of a side of a right triangle, given one side and one acute angle.

  2. Recall… Make a guess…. 60° Find the value of x. 10 x 55° Now make a conjecture about the value of y in the figure. 10 y Trigonometry will help us find the length of a side of a right triangle when we are given only one side and one acute angle.

  3. Evaluate each function on a calculator. a. sin 30° c. tan 30 ° b. cos 30 ° 0.87 0.58 0.5 What do these numbers mean? Where do they come from?

  4. Trig definitions 10 5 30 sin (angle) = tan (angle) = cos (angle) =

  5. Trig definitions 6 3 30 sin (angle) = tan (angle) = cos (angle) =

  6. So when I type sin 30 into my calculator, it is telling me that the RATIO of the leg opposite the 30 angle and the hypotenuse is or 0.5. So how am I going to remember this?

  7. D J A C E N T P P O S I T E I N E O S I N E Y P O T E N U S E Y P O T E N U S E A N G E N T P P O S I T E D J A C E N T SohCahToa Aaaahh!

  8. Handbook page 18

  9. Here’s what you need to be able to do: • Given the right triangle shown, state the ratio for the sine, cosine and tangent of A and B. B 6 10 A

  10. 18 37° 2. Find the value of x in each triangle. a. b. x 43° x 4.1

  11. Now use trigonometry to find the actual value of y, rounded to the nearest hundredth. 55° 10 y

  12. Assignment WS: Intro to Trig Ratios: 1-19

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