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3/17 Bell Ringer 1. What’s the measurement of the hypotenuse? θ 2√3 4 2. What’s the measurement of the opposite leg? 3. What’s the measurement of the adjacent leg? 2 Homework: SOHCAHTOA Puzzle Grab today’s guided notes from the front of the room! News and Notes • Perfection Award: 8th Period • Note on what was handed back to you. 3/17 Agenda • I CAN identify and calculate the trig ratios given all three sides of a right triangle (SOH CAH TOA) • 1. Intro to New Material – Vocabulary • 2. Guided Practice: Races • 3. Puzzle Time • 4. ACT Question of the Day Intro to New Material (Ex. #1) • Find the three trig ratios for the 30° angle: opp 1 sin( 30) hyp 2 adj 3 cos(30) hyp 2 opp 1 tan( 30) adj 3 30° 2 √3 1 Intro to New Material (Ex. #2) • Find the three trig ratios for the 60° angle: opp 3 sin( 60) hyp 2 adj 1 cos(60) hyp 2 2 √3 60° opp 3 tan( 60) 3 adj 1 1 Trigonometric Ratio Allows us to find missing sides and angles of right triangles. SOHCAHTOA SOH-CAH-TOA Sin = Opp/Hyp Cos = Adj/Hyp Tan = Opp/Adj Sine (sin) Sin θ = opposite . . Hypotenuse Sine, cosine, and tangent. sin θ = 3/5 Cos θ = 4/5 5 3 θ tan θ = 3/4 4 5 sin θ = 3/5 3 θ Cos θ = adjacent Cosine (cos) . cos θ = 4/5 5 Hypotenuse θ 4 tan θ = 3/4 Tan θ = opposite Tangent (tan) adjacent 3 4 θ Guided Practice • Race up your Row!!! • The first person in each column will be in charge of copying down the triangle on paper. • First person finds missing side (method of choice), second finds sin (SOH), third finds cos (CAH), fourth finds tan (TOA). • Team distractions cost 1 point. • Inappropriate comments cost 1 point. Independent Practice • Begin working on your SOHCAHTOA puzzle on the back of today’s notes. ACT Question of the Day r In the figure below, what is ? t A. sine of angle G only B. cosine of angle G only C. cosine of angle H only D. sine of angle G and cosine of angle H. Homework: SOHCAHTOA Puzzle