Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
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 Revision of Trig & Pythagoras Further Trig Find x on the following right angled triangles. 1. x 4 4. 5 6. 4 x 25º 30º 10 3 x x 10 x 5. x 10 5 7 15 3. 2. 7. 3 x 7.5 3.2 Sine Rule Further Trig B a c A For a side For an angle b C a b c sin A sin B sin C sin A sin B sin C a c b Sine Rule Further Trig Find angle C. B A 8 9 50º ? b C Sine Rule Further Trig Find the length of AC. A 62º B 76º ? 9 42º C Cosine Rule Further Trig Use with non right angled triangles B a c A b C a2 = b2 + c2 – 2bc cos A Cosine Rule Further Trig A 105º 8.1 5.2 C x B B 11.4 4.8 x A 8.5 C Further Trig Additional Notes Further Trigonometry Learning Outcomes: At the end of the topic I will be able to Can Do Revise Further 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 Calculate distances and angles in solids using plane sections and trig ratios Be able to sketch graphs of sine, cosine and tangent functions