1. 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

2. 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

3. 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 4 3.2 7.5 x 1.2. 3. 4.5. 6. 7.

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

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

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

7. 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

8. Further Trig Cosine Rule A C B 5.2 8.1 x 105º A C B 4.8 11.4 x 8.5

9. Further Trig Additional Notes

11. 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