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Trigonometry

Trigonometry. Day 1. Just call it trig!. “Trigonometry” comes from the Greek words meaning “triangle measurement.” In this unit, we will be using Trig to find the missing information in triangles. Right now, we will only be working with trig functions in right triangles. Ratio #1.

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Trigonometry

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  1. Trigonometry Day 1

  2. Just call it trig! • “Trigonometry” comes from the Greek words meaning “triangle measurement.” • In this unit, we will be using Trig to find the missing information in triangles. Right now, we will only be working with trig functions in right triangles.

  3. Ratio #1 • The Tangent Ratio. B 13 5 C A 12 Warning: If we ask for a ratio, leave it as a ratio in its most reduced form. No, the side opp C is a hyp, not a leg., and you don’t know which adjacent leg to use…. Is there a Tan C?

  4. What if we want the values, not the ratios? • This is where your calculators come into play. • Do you know what a radian is? • You won’t be working with radians in this class, so we are going to change our calculators to degree mode. • Press “mode”, cursor down to the third line and over to highlight “degree” and press enter.

  5. Warning • You will be using my calculators, and they will be reset several times during this unit. • If you do not switch to degrees, all of your answers will be wrong! • It must be the first thing you check when you turn on the calculators.

  6. Expectations • On homework, quizzes and tests, either the trig ratio, or the calculator ready trig function must be written down. Answers will be counted wrong without this information. • We will specify how to round your answers. Read all instructions, we ask for different degrees of accuracy for different problems • If we give you units in the problem, we want units in the answer!

  7. Calculators Ready? Find w to the nearest tenth. Determine which trig function you will use based on the given information. 54° 10 Write your trig ratio. Write your calculator ready form. w Input the function in your calculator. Notice that when you enter a trig function, it automatically opens a parenthesis, just like the radical. Get in the habit of closing the parenthesis, since it can make a difference with some problems involving division. w=10tan54 w=13.8u

  8. Find w to the nearest tenth. 1.0 Write the trig ratio. 28° Calculator ready function. w solve for w (w) (w) Note: is there a quicker way to solve for your variable if it is in the denominator of your trig function? wtan28=1.0 tan28 tan28 Yes! The variable trades places with the trig function w=1.9

  9. What if we don’t give you the angle measurement? • Look at your calculator. Any ideas? • If you are trying to solve for the angle measurement, you will use one of your inverse trig functions. • tan-1

  10. Find the angle to the nearest degree. 6 x 8 Trig ratio: Calculator Ready: x=37°

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