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Understanding Trigonometric Ratios and Functions in Right Triangles

In today's lesson, we explored how to identify and name the trigonometric functions that represent ratios in right triangles, specifically using SOH-CAH-TOA. We reviewed our bell ringer problem, practiced applying trigonometric ratios, and engaged in guided practice involving a real-world scenario with a ladder and sign. Students are reminded of the upcoming quiz on Friday, as well as the importance of test corrections. For homework, please complete your independent practice to reinforce today’s concepts.

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Understanding Trigonometric Ratios and Functions in Right Triangles

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  1. θ 3/1 Bell Ringer 2√3 4 What is ? What is ? What is ? What is ? 2 Homework: Finish Today’s Independent Practice

  2. 3/1 News and Notes • Perfection Award: 4thPeriod • Tests back • Reminder about test corrections • QUIZ FRIDAY!

  3. Bell Ringer Review θ 2√3 4 2

  4. New Material • All we’re doing today is naming the functions that represent the ratios from the bell ringer!

  5. SOH-CAH-TOA 5 3 Θ 4

  6. 5 Now fill in with regard to 3 Θ 4

  7. Quick Check - SOHCAHTOA • What trig ratio is represented by 3/5 in following diagram? • 3 = adj • 5 = hyp • Adj/hyp = COSINE!  cos(Θ) = 3/5 Θ 5 3 4

  8. Guided Practice • A painter needs to reach the top of a 15 foot tall sign. He uses a ladder of length x to reach the top of the sign. The angle formed where the ladder meets the ground should be labeled Θ. • Step 1: DRAW A PICTURE, labeling what you can.

  9. Step 2: What trig ratio would you use to represent this situation? Explain why. Sin because opp = 15 and hyp = x. • Step 3: Write the full trig equation • HONORS: If Θ = 60°, what is the length of the ladder?

  10. Independent Practice • We will finish with an Exit Ticket!

  11. ACT Question of the Day In the figure below, what is ? A. sine of angle G only B. cosine of angle G only C. cosine of angle H only • sine of angle G and cosine of angle H. • Sine of angle H and cosine of angle G. Homework: Finish IP

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