Dr. J's Maths.com
Where the techniques of Maths
are explained in simple terms.

Trigonometry - Solving equations.
Test Yourself 2 - Solutions.

 The questions below focus on the formats: 1. Trig ratio and a constant 2. Squared trig ratio and a constant. 3. Sin and cos terms but no constant. 4. Trig ratios in a quadratic format. 5. Using angles of any magnitude. 6. Number of solutions.

 1. Trig ratio and a constant. (solve all equations for 0 ≤ angle ≤ 360°). 1. 2. 3. 4. 5. 6. 7. 8. 9. . 10. 2. Squared trig ratio and a constant. 11. 13. 15. 3. Sin and cos terms but no constant. 17. 18. 19. 20. 21. 4. Trig ratios in a quadratic format. 23. 25. Solve 2cos2 x -3 cos x + 1 = 0 Answer.0°, 60°, 300°, 360°. 26. Solve 3tan4 x + 2tan2 x - 1 = 0 Answer.30°, 150°, 210°, 330°. 27. 3 sec2 x - tanx - 5 = 0 Answer.45°, 146°19', 225°, 326°19'. 28. 2cot2x - cosecx + 1 = 0 Answer.90°. 29. 30. (i) (ii) 5. Complementary or supplementary angles. (0 ≤ θ ≤ 360°). 31. sinx = cos(2x - 45°). Answer.45°. 32. cos 3x = sin (x - 22°). Answer.56°. 34 6. Number of solutions. 35. 36