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SUEC 高中 Adv Maths (Trigo Function Part 3)
- 1. 𝒑𝒈 𝟐𝟎𝟏 − 𝟐𝟎𝟐 𝒄𝒐𝒔−𝟏 (𝟎. 𝟕𝟔𝟔𝟎)
- 3. 𝒑𝒈 𝟐𝟎𝟐 𝟎 𝟏𝟏 𝟔 𝝅 𝟐𝟕𝟎 ° 𝟐𝟕𝟎 ° 𝟗𝟎 ° 𝟔𝟕 ° 𝟐𝟑′ 𝟏𝟏𝟐 ° 𝟑𝟕′ 𝟏𝟏𝟒 ° 𝟔′ 𝟐𝟗𝟒 ° 𝟔′ 𝟕𝟓 ° 𝟑𝟔′ 𝟐𝟖𝟒 ° 𝟐𝟒′ 𝟒𝟗 ° 𝟏𝟗′ 𝟐𝟐𝟗 ° 𝟏𝟗′ 𝟕 𝟔 𝝅 𝟓 𝟒 𝝅 𝟑𝟎𝟏 ° 𝟐𝟑𝟗 ° 𝟐𝟒𝟓 ° 𝟒𝟖′ 𝟏𝟏𝟒 ° 𝟏𝟐′ 𝟏𝟎𝟒 ° 𝟐′ 𝟐𝟖𝟒 ° 𝟐′
- 4. 𝒑𝒈 𝟐𝟎𝟐 𝟏𝟏 𝟔 𝝅 𝟑𝟎 ° 𝟏𝟓𝟎 ° 𝟏𝟑𝟓 ° 𝟏 𝟒 𝝅 𝟎. 𝟏𝟎𝟐 𝝅 𝟏𝟓𝟎 ° 𝟒𝟓 ° 𝟓 𝟔 𝝅 𝟏. 𝟏𝟎𝟐 𝝅 𝟏𝟏 𝟔 𝝅 𝟏 𝟔 𝝅 𝟑 𝟒 𝝅 𝟓 𝟒 𝝅 𝟕 𝟒 𝝅 𝟔𝟎 ° 𝟒𝟓 °
- 5. 𝒑𝒈 𝟐𝟎𝟑 − 𝟐𝟎𝟓
- 6. 𝒑𝒈 𝟐𝟎𝟕 -3.142 -1.571 0 1.571 3.142 -3.142 -1.571 0 1.571 3.142 x -180 -90 0 90 180 x -180 -90 0 90 180 y = sin x 0 -1 0 1 0 y = cos x -1 0 1 0 -1 -1.5 -1.0 -0.5 0.0 0.5 1.0 1.5 -180 -90 0 90 180 y = sin x y x -1.5 -1.0 -0.5 0.0 0.5 1.0 1.5 -180 -90 0 90 180 y = cos x y x
- 7. 𝒑𝒈 𝟐𝟎𝟕
- 8. 𝒑𝒈 𝟐𝟎𝟕
- 9. 𝒑𝒈 𝟐𝟎𝟕
- 10. 𝒑𝒈 𝟐𝟎𝟕 𝒔𝒊𝒏 𝒙 = 𝒙 + 𝟐𝒌𝝅 For any angle x, we can write x = x + 2k𝝅, k ∈ Z Sin Graph - repeats itself for every interval of 2𝝅 - the interval over which the wave repeats itself is called the period - x intercepts: x = k = 𝝅 , where k is an integer 区间 𝒙 𝒗𝒂𝒍𝒖𝒆 𝒊𝒏𝒕𝒆𝒓𝒗𝒂𝒍 𝟎 𝝅 − 𝝅 𝟐𝒌𝝅 𝝅 + 𝟐𝒌𝝅 − 𝝅 + 𝟐𝒌𝝅 − 𝝅 𝒂 (𝟐𝒌𝝅, 𝝅 + 𝟐𝒌𝝅), where k is an integer 𝒃 (− 𝝅 + 𝟐𝒌𝝅, 𝟐𝒌𝝅), where k is an integer
- 11. 𝒑𝒈 𝟐𝟎𝟕 𝒄𝒐𝒔 𝒙 = 𝒙 + 𝟐𝒌𝝅 For any angle x, we can write x = x + 2k𝝅, k ∈ Z Cos Graph - repeats itself for every interval of 2𝝅 - the interval over which the wave repeats itself is called the period - x intercepts: x = k = 𝝅 𝟐 , where k is an integer 区间 𝒙 𝒗𝒂𝒍𝒖𝒆 𝒊𝒏𝒕𝒆𝒓𝒗𝒂𝒍 − 𝝅 𝟐 − 𝝅 𝟐 + 𝟐𝒌𝝅 𝒄 − 𝝅 𝟐 + 𝟐𝒌𝝅 , 𝝅 𝟐 + 𝟐𝒌𝝅 , where k is an integer − 𝝅/𝟐 𝝅 𝟐 𝝅 𝟐 + 𝟐𝒌𝝅 𝟑𝝅 𝟐 𝟑𝝅 𝟐 + 𝟐𝒌𝝅 𝒅 𝝅 𝟐 + 𝟐𝒌𝝅, 𝟑𝝅 𝟐 + 𝟐𝒌𝝅 , where k is an integer
Editor's Notes
- https://www.analyzemath.com/trigonometry/properties.html