This document contains information about sine graphs including: - Common x-values that produce sin(x) including 0, 30, 45, 60, 90, 120, 135, 157.5, 180, 225, 240, and 360 degrees. - General formulas for sin(x) including nπ + -1 n, nπ + -1 n 45° - 45°, and nπ + -1 n -π/3. - Additional formulas including 2nπ ± 2π/9, x|x = nπ + π/6 ∪ x|x = nπ - π/2, and n ∙ 720 ° - 300 °.

1. Sin Graph
− 𝝅

2. 𝒑𝒈 𝟐𝟕𝟑

3. 𝒑𝒈 𝟐𝟕𝟓
𝑥 = 45 ° , 135 °
𝑥 = 30 °
𝑥 = 45 ° , 225 °
𝑥 = 30 °

4. 𝒑𝒈 𝟐𝟕𝟒
𝑥

5. 𝒑𝒈 𝟐𝟕𝟒 − 𝟐𝟕𝟓

6. 𝒑𝒈 𝟐𝟕𝟓
𝑥 = 70 °
𝑥 = 67.5 ° , 157.5 °
𝑥 = 45 ° , 135 °
𝑥 = 60 °
𝑥 = 105 ° 𝑥 = 22.5 ° , 112.5 °

7. 𝒑𝒈 𝟐𝟕𝟓
𝑥 = 0 ° , 180 ° , 210 °, 330 °, 360 °
𝑥 = 120 ° , 240 °
𝑥 = 90 °

8. 𝒑𝒈 𝟐𝟕𝟕 − 𝟐𝟖𝟏

9. 𝒑𝒈 𝟐𝟖𝟏
𝒏𝝅 + −𝟏 𝒏
𝝅
3
𝒏𝝅 + −𝟏 𝒏 𝟒𝟓° − 𝟒𝟓°
𝒏𝝅 + −𝟏 𝒏
−
𝝅
3
𝒏𝝅
𝟐
+ −𝟏 𝒏
𝝅
𝟖

10. 𝒑𝒈 𝟐𝟕𝟖 − 𝟐𝟖𝟎

11. 𝟐𝟖𝟏
𝟐
𝟑
𝒏𝝅 ±
𝟐𝝅
𝟗
𝒙|𝒙 = 𝒏𝝅 +
𝝅
𝟔
∪ 𝒙|𝒙 = 𝒏𝝅 −
𝝅
𝟐

12. 𝒑𝒈 𝟐𝟕𝟗 − 𝟐𝟖𝟎

13. 𝒑𝒈 𝟐𝟖𝟏
𝒏 ∙ 𝟕𝟐𝟎 ° − 𝟑𝟎𝟎 °
𝒙|𝒙 = 𝒏𝝅 −
𝝅
𝟔
𝒙|𝒙 = 𝒏𝝅 +
𝝅
𝟔
𝒙|𝒙 = 𝒏𝝅 −
𝟓𝝅
𝟏𝟐