Further Trigonometry Learning Outcomes  Calculate distances and angles in solids using plane sections and trig ratios  Be able to sketch graphs of sine, cosine and tangent functions  Use sine (including the ambiguous case) and cosine rules to solve problems, including simple cases in 3D  Be able to use ½absinC to calculate the area of a triangle

Further Trig Pythagoras’ Theorem & 3D Trig Consider the cuboid below Find: i.The length of the diagonal DG ii.The length of the diagonal FD iii.The angle the line FD makes with the base DCGH

Further Trig Revision of Trig & Pythagoras 4 x 7 Find x on the following right angled triangles. 5 x 10 5 x 3 x 25º 30º x 15 3 x x

Further Trig Sine Rule A C B c a b For a side For an angle

Further Trig Sine Rule A C B 8 9 b 50º ? Find angle C.

Further Trig Sine Rule A C B 9 62º ? Find the length of AC. 42º 76º

Further Trig Cosine Rule A C B c a b Use with non right angled triangles a 2 = b 2 + c 2 – 2bc cos A

Further Trig Cosine Rule A C B x 105º A C B x 8.5

Further Trig Additional Notes

Further Trigonometry Learning Outcomes: At the end of the topic I will be able to Can Revise Do Further        Calculate distances and angles in solids using plane sections and trig ratios  Be able to sketch graphs of sine, cosine and tangent functions  Use sine (including the ambiguous case) and cosine rules to solve problems, including simple cases in 3D  Be able to use ½absinC to calculate the area of a triangle