The Trigonometric Ratios

The Trigonometric Ratios

DO NOW 1/5: Label the opposite, adjacent and hypotenuse for reference angle A. The Trigonometric Ratios

Agenda 1. Do Now 2. Quiz Review 3. Lesson 26 #1-4 4. Trigonometric Ratios 5. Fisher Building Problem 6. Debrief Quiz Review

Lesson 26: Classwork #13 Sine, Cosine and Tangent SOH CAH TOA sin=

cos= Tan= **MUST BE IN NOTES!** Lesson 26: #4-6 (In

Groups) Each group spend ____ minutes working on answering and completing the table for #4, 5 and 6.

Once your group is finished, record you answers on your sheet and have one representative record it on the board. Begin Independently working on #7-9 Lesson 26 #4

Lesson 26: #5 Lesson 26: #6 Debrief Discuss in shoulder partners, then at

your table, then whole group: What were the patterns you noticed in solving #8? How did you use sin, cos and tan to solve #7?

DO NOW 1/6: Write the sin, cos and tan for the reference angle shown below. Common Trig Ratios 10 5

53 Agenda 1. Problem Set Review 2. Trig Unit Quadrant Construction 3. Ratios of 0, 30, 45, 60, 90 4. Special Right Triangles

with Trig 5. Debrief Construct a Trig Unit Quadrant On a blank scrap sheet, use the compass to draw a quarter circle using a corner of the sheet as your center point.

Put a protractor centered on the corner an mark off 30, 45, 60 degrees (the edges of the sheet will be 0 and 90) Use a ruler to create a table of the sine, cosine and tangent of each triangle. Look for patterns! Table of Common Ratios

sin cos tan **MUST BE IN NOTES!** 0

30 45 60 90 Debrief/Exit Ticket

Solve table for the variables using your trig DO NOW 1/7: Find the lengths of the missing sides of the right

triangles. Using Calculators with Sine and Cosine Agenda 1. Problem Set Review 2. Using sin, cos, tan on calculators

3. Trig Practice (word problems) 4. Fisher Building (Debrief) Using calculator for sin, cos, tan 1. What patterns do you notice between sin and cos? 2. Give an explanation for the patterns you see.

Example 1 Word Problem Example Debrief How could we set up a problem that would tell us the height of the Fisher

Building? DO NOW 1/9: A 25 ft ladder is leaning up against a building at a 75 degree angle. How far is the base of the ladder from the building?

Trig Word Problem Agenda 1. Exit Ticket Review 2. Word Problem practice (elevation and depression) 3. Construct sextant 4. Debrief

Trig Word Problems Trig Word Problems Trig Word Problems angle of elevation angle of depression

Trigonometry and Sextants Sextants were historically used during nautical exploration to determine distance and location by using the location of the sun and stars.

https://www.youtube.com/watch? v=DrAkrgZRb9Y Debrief How could we set up a problem that would tell us the height of the Fisher

Building?

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