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Section 13-1 Right Triangle Trigonometry Trigonometry - The study of the relationship among angles and the sides of right triangles. A Hypotenuse C B Θ Theta (Shape that means angle) Sin Θ = Cos Θ = Tan Θ = Some Old Horse Came Across Here To Observe Ants SOHCAHTOA New Trig Functions!!! CSC Θ= Sec Θ = CSC=CoSecant (opposite of Sine) SEC= Secant (opposite of Cosine) COT=CoTangent (opposite of Tangent) Cot Θ= Think about everything needs a CO to make a pair! Introducing TRIG MAN Place TRIG MAN at your angle that you need or have. Examples: C Write Six Ratios for Θ Θ 5 3 B 4 Sin Θ= Cos Θ= Tan Θ= CSC Θ= Sec Θ= Cot Θ= A SET THE MODE TO DEGREE Example: Find x 10 40⁰ X Example: Find Θ 10 Θ 14 Angles of Elevation & Depression Angle of Depression (Looking Down) 38⁰ 38⁰ The same degree because of alternate interior angles (Remember Geometry) Angle of Elevation (Looking up) NOTICE: The only hard part about this section is interpreting where the angle is—Remember to ask yourself: Are you looking up or looking down? Example: In a sightseeing boat near the base of the Horseshoe Falls at Niagara Falls, a passenger estimates the angle of elevation to the top of the falls to be 30⁰. If the Horseshoe Falls are 177 feet high, what is the distance from the boat to the base of the falls? DRAW A PICTURE of a triangle to help solve! 177 ft 30⁰ REMEMBER YOU ARE LOOKING UP! Homework : TXT p. 706 # 16-26 even, 30-36 even, 42 Class work: 7 8 9