1. What is 2. What is 3. What is 4. What is opp hyp opp adj adj hyp hyp opp 3/1 Bell Ringer ? θ ? 2√3 4 ? ? Homework: Finish Today’s Independent Practice 2 3/1 News and Notes • • • • Perfection Award: 4th Period Tests back Reminder about test corrections Perfection Competition Daily Results QUIZ FRIDAY! 4 4 4 4 3.5 3 3 2.5 2.5 2 1.5 1 0.5 0 1st 2nd 4th 7th 8th Bell Ringer Review θ 2√3 4 2 New Material • All we’re doing today is naming the functions that represent the ratios from the bell ringer! SOH-CAH-TOA SOHCAHTOA SOH-CAH-TOA opp sin hyp adj cos hyp opp tan adj Sin(Θ) = Cos(Θ) = Tan(Θ) = 5 3 Θ 4 Now fill in with regard to 5 3 4 Sine (sin) Cosecant (csc) Cosine (cos) Secant (sec) Tangent (tan) Cotangent (cot) hyp adj 3 5 5 3 4 5 5 4 adj opp 3 4 4 3 hyp opp Θ Quick Check - SOHCAHTOA • What trig ratio is represented by 3/5 in following diagram? • 3 = adj 3 • 5 = hyp • Adj/hyp = COSINE! cos(Θ) = 3/5 Θ 5 4 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. • 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 15 sin equation x • HONORS: If Θ = 60°, what is the length of the ladder? Independent Practice • We will finish with an Exit Ticket! ACT Question of the Day r In the figure below, what is ? t A. B. C. D. sine of angle G only cosine of angle G only cosine of angle H only sine of angle G and cosine of angle H. E. Sine of angle H and cosine of angle G. Homework: Finish IP