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Trigonometry: Sine, Cosine, Tangent as multipliers opposite = hypotenuse x sin adjacent = hypotenuse x cos opposite = adjacent x tan Memory aid: “Opposite goes with SIN” Sine, Cosine and Tangent are functions. The angle is the input, the output is the ratio of sides of a right angled triangle. Special triangles 30o sin 12 y x tan Inverse trigonometric functions y R x cos 1 R y tan 1 x sin 1 Opposite the angle Adjacent the angle Practical applications of trigonometry Pythagorean triples h = 10tan38o = 7.81m 38o 10m Use an angle measuring device, a tape measure and tan to calculate heights that may be difficult to measure directly Mathematics topic handout: Trigonometry – Sine, Cosine, Tangent as multipliers Dr Andrew French. www.eclecticon.info PAGE 1 Trigonometry was used to determine the positions of geophones during a seismic survey of a beach in New Zealand. (Cambridge University Earth Sciences, 2001). Mathematics topic handout: Trigonometry – Sine, Cosine, Tangent as multipliers Dr Andrew French. www.eclecticon.info PAGE 2