LO To assess your understanding of Trigonometry RAG Key Words: Sine, Tangent, Cosine, Inverse20-Oct-15

Grade D For each of the triangles below label the sides adjacent, opposite and hypotenuse. Grade C For each of the triangles above decide which of the Trigonometrical Ratios you would use to find the missing side or angle. Grade C Describe the difference between a problem that can be solved using trigonometry and a problem that can be solved using Pythagoras’ Theorem.

Grade B

Grade A /A* The depth, D metres, of the water at the end of a jetty in the afternoon can be modelled by this formula D = A sin 30(t – k)° where t hours is the number of hours after midday, A and k are constants. Yesterday the low tide was at 3 p.m. The depth of water at low tide was 3.5 m. Find the value of A and k.

GradeTrigonometry A / A* I can use trigonometrical relationships in right-angled triangles to solve 3-D problems including finding the angles between a line and a plane. I can calculate the area of a triangle using ½ ab sin C. I can draw, sketch and describe the graphs of trigonometric functions for angles of any size, including transformations involving scalings in either or both of the x and y directions. I can use the sine and cosine rules to solve 2-D and 3-D problems. B I can use trigonometry (Sin, Cos, Tan) to find a missing angle find one of the shorter sides find the hypotenuse. C I can choose which trig ratio to apply to a given problem (Sin, Cos, Tan) I can recognise the difference between problems involving right-angled triangles that require (i) Pythagoras’ theorem, or (ii) trigonometry, to be applied. D I can recognise a right-angled triangle and identify the hypotenuse. I can label the Opposite and Adjacent sides to any given angle. Tips / Hints

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