The Trigonometric Ratios DO NOW 1/5: Label the opposite, adjacent and hypotenuse for reference angle A. The Trigonometric Ratios θ Agenda Do Now Quiz Review Lesson 26 #1-4 Trigonometric Ratios Fisher Building Problem Debrief

Quiz Review

Lesson 26: Classwork #1-3

Sine, Cosine and Tangent SOH CAH TOA sinθ= cosθ= Tanθ= **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?

Write the sin, cos and tan for the reference angle shown below. DO NOW 1/6: Write the sin, cos and tan for the reference angle shown below. Common Trig Ratios Agenda Problem Set Review Trig Unit Quadrant Construction Ratios of 0, 30, 45, 60, 90 Special Right Triangles with Trig Debrief 10 5 θ 5√3

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 θ 0° 30° 45° 60° 90° sinθ cosθ tanθ **MUST BE IN NOTES!**

Debrief/Exit Ticket Solve for the variables using your trig table

Using Calculators with Sine and Cosine DO NOW 1/7: Find the lengths of the missing sides of the right triangles. Using Calculators with Sine and Cosine Agenda Problem Set Review Using sin, cos, tan on calculators Trig Practice (word problems) Fisher Building (Debrief)

Using calculator for sin, cos, tan What patterns do you notice between sin and cos? 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?

Trig Word Problem 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 Exit Ticket Review Word Problem practice (elevation and depression) Construct sextant 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?