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ALGEBRA 2 LECTURE T – 1: Right Triangle Trigonometry Reading Assignment: Chapter 13, Pages 828 – 832 TRIGONOMETRIC FUNCTIONS SIDES OF A RIGHT TRIANGLE: Hypotenuse: opposite the 90 angle Adjacent: helps form the angle in question Opposite: opposite the angle in question – NOT one of the rays of the angle ANGLE A: ANGLE B: Opposite: Opposite: Adjacent: Adjacent: Hypotenuse: Hypotenuse: ALGEBRA 2 LECTURE T – 1: Right Triangle Trigonometry SOH CAH TOA TRY THIS Page 829: Find the values of the six trig functions of Y for XYZ. Give exact answers and answers rounded to the nearest ten-thousandth. ALGEBRA 2 LECTURE T – 1: Right Triangle Trigonometry RECIPROCAL FUNCTIONS ALSO IMPORTANT EXAMPLE: Find x TRY THIS Page 831: For KLM, find KL and LM to the nearest tenth. ALGEBRA 2 LECTURE T – 1: Right Triangle Trigonometry INVERSE FUNCTIONS Use trigonometric functions to determine a missing side in a triangle. Use the inverse of trigonometric functions to determine an angle in a triangle. EXAMPLE: Solve ABC, give angles to the nearest degree and sides to the nearest tenth. TRY THIS Page 832: Solve KLM, give angles to the nearest degree and sides to the nearest tenth. ALGEBRA 2 LECTURE T – 1: Right Triangle Trigonometry ANGLES OF ELEVATION & DEPRESSION Angle of Elevation = an angle between a horizontal line and a line of sight to a point above. Angle of Depression = an angle between a horizontal line and a line of sight to a point below. EXAMPLE: An engineer stands 50 feet away from a building and sights the top of the building with a surveying device mounted on a tripod. If the surveying device is 5 feet above the ground and the angle of elevation is 50, how tall is the building? ALGEBRA 2 LECTURE T – 1: Right Triangle Trigonometry HW T – 1: Pages 833 – 834 #9 – 47 Odds