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 |
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2. Squared trig ratio and a constant. | 11. | |
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3. Sin and cos terms but no constant. | 17. | 18. |
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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°. |
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27. 3 sec2 x - tanx - 5 = 0
Answer.45°, 146°19', 225°, 326°19'. |
28. 2cot2x - cosecx + 1 = 0
Answer.90°. |
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29.
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30. (i) ![]() (ii) |
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5. Complementary or supplementary angles. (0 ≤ θ ≤ 360°). |
31. sinx = cos(2x - 45°).
Answer.45°. |
32. cos 3x = sin (x - 22°).
Answer.56°. |
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6. Number of solutions. | 35. ![]() |
36 |