1. Using SOHCAHTOA Trigonometry

2. In each of the following diagrams use SIN to find the angle x correct to 1 decimal place. 1.3 3.2 x 5.2 6.6 x x 5.9 2.2 4.4 3.7 x 13 10 x 5.7 2 x 13.7 x 5 3.2 2.4 x 4 9 4.8 x 10.2 3 6 x x 5 8 ( Note: In the last two examples you will need to use Pythagoras before you can use SIN)

3. SIN of an angle – solutions 51.363.461.9 36.921.420.550.3 57.221.952.024.0

4. In each of the following diagrams use COS to find angle x correct to 1 decimal place. 6.4 5.2 x 5.7 8.6 x 3.3 5 x 6.4 4.5 x 5.4 2.3 x x 3 7 7.5 9.4 x 5.6 2.6 3.2 x 4.1 13.7 8.6 x 16.2 8.9 6.7 x x 4.9 2.6 ( Note: In the last two examples you will need to use Pythagoras before you can use COS)

5. COS of an angle – solutions 32.148.832.338.7 37.164.845.348.7 64.648.535.7

6. In each of the following diagrams use TAN to find angle x correct to 1 decimal place. 1.7 3.8 x 5.1 3.6 x x 5 2 4.7 2.7 x 7.1 10 x 5.3 2 x 12 13 x 5 4 3 x 5 15 8 x 17 3 6 x x 5 2 ( Note: In the last two examples you will need to use Pythagoras before you can use TAN)

7. TAN of an angle – solutions 23.66028.1 59.022.620.754.6 60.121.854.824.1

8. Finding an angle-mixture- In each diagram below find the size of angle x. x9 7 x 4.3 5.8 x 3.4 2.3 x 2.7 3.6 x 3 2 x 5.5 6.3 x 4.1 2.1 6 8.2 x x 13 12 5 3.2 x 2.1 4.9 C A 3 8 4 B Find the angles of triangle ABC

9. Angle mixture – solutions 39,88,53x=31.367.4 53.859.260.848.2 48.634.142.351.1

10. Finding the length of a side. In each diagram below find the length of the side indicated. 4 x 37º 8 x 64º 2.7 x 42º 4 x 2.8 x 38º 10 x 59º 5.2 x 32º 5 x 75º 4.9 x 71º 8.6 x 29º 6.6 79º x 4 x 50º

11. Length of a side – solutions 3.14.81.34.6 1.34.48.62.2 3.02.43.52.4

12. Finding the length of the hypotenuse. In each diagram below find the length of the side indicated. x 4 37º x 3.2 63º x 2.8 74º x 6 56º 15 x 40º x 8.6 32º 5.4 x 31º x 4.1 66º

13. Finding the hypotenuse – solutions 10.110.5 16.223.310.7 2.97.06.6