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# Trig Functions

### Study the six trigonometric functions!

Function: Degrees | Function: Radians | Answer |
---|---|---|

sin(0) | sin(0) | 0 |

sin(30) | sin(pi/6) | 1/2 |

sin(45) | sin(pi/4) | √2/2 |

sin(60) | sin(pi/3) | √3/2 |

sin(90) | sin(pi/2) | 1 |

sin(120) | sin(2pi/3) | √3/2 |

sin(135) | sin(3pi/4) | √2/2 |

sin(150) | sin(5pi/6) | 1/2 |

sin(180) | sin(pi) | 0 |

sin(210) | sin(7pi/6) | -1/2 |

sin(225) | sin(5pi/4) | -√2/2 |

sin(240) | sin(4pi/3) | -√3/2 |

sin(270) | sin(3pi/2) | -1 |

sin(300) | sin(5pi/3) | -√3/2 |

sin(315) | sin(7pi/4) | -√2/2 |

sin(330) | sin(11pi/6) | -1/2 |

sin(360) | sin(2pi) | 0 |

cos(0) | cos(0) | 1 |

cos(30) | cos(pi/6) | √3/2 |

cos(45) | cos(pi/4) | √2/2 |

cos(60) | cos(pi/3) | 1/2 |

cos(90) | cos(pi/2) | 0 |

cos(120) | cos(2pi/3) | -1/2 |

cos(135) | cos(3pi/4) | -√2/2 |

cos(150) | cos(5pi/6) | -√3/2 |

cos(180) | cos(pi) | -1 |

cos(210) | cos(7pi/6) | -√3/2 |

cos(225) | cos(5pi/4) | -√2/2 |

cos(240) | cos(4pi/3) | -1/2 |

cos(270) | cos(3pi/2) | 0 |

cos(300) | cos(5pi/3) | 1/2 |

cos(315) | cos(7pi/4) | √2/2 |

cos(330) | cos(11pi/6) | √3/2 |

cos(360) | cos(2pi) | 1 |

tan(0) | tan(0) | 0 |

tan(30) | tan(pi/6) | √3/3 |

tan(45) | tan(pi/4) | 1 |

tan(60) | tan(pi/3) | √3 |

tan(90) | tan(pi/2) | undefined |

tan(120) | tan(2pi/3) | -√3 |

tan(135) | tan(3pi/4) | -1 |

tan(150) | tan(5pi/6) | -√3/3 |

tan(180) | tan(pi) | 0 |

tan(210) | tan(7pi/6) | √3/3 |

tan(225) | tan(5pi/4) | 1 |

tan(240) | tan(4pi/3) | √3 |

tan(270) | tan(3pi/2) | undefined |

tan(300) | tan(5pi/3) | -√3 |

tan(315) | tan(7pi/4) | -1 |

tan(330) | tan(11pi/6) | -√3/2 |

tan(360) | tan(2pi) | 0 |

csc(0) | csc(0) | undefined |

csc(30) | csc(pi/6) | 2 |

csc(45) | csc(pi/4) | √2 |

csc(60) | csc(pi/3) | 2√3/2 |

csc(90) | csc(pi/2) | 1 |

csc(120) | csc(2pi/3) | 2√3/3 |

csc(135) | csc(3pi/4) | √2/2 |

csc(150) | csc(5pi/6) | 2 |

csc(180) | csc(pi) | undefined |

csc(210) | csc(7pi/6) | -2 |

csc(225) | csc(5pi/4) | -√2/2 |

csc(240) | csc(4pi/3) | -2√3/3 |

csc(270) | csc(3pi/2) | -1 |

csc(300) | csc(5pi/3) | -2√3/3 |

csc(315) | csc(7pi/4) | -√2/2 |

csc(330) | csc(11pi/6) | -2 |

csc(360) | csc(2pi) | undefined |

sec(0) | sec(0) | 1 |

sec(30) | sec(pi/6) | 2√3/3 |

sec(45) | sec(pi/4) | √2 |

sec(60) | sec(pi/3) | 2 |

sec(90) | sec(pi/2) | undefined |

sec(120) | sec(2pi/3) | -2 |

sec(135) | sec(3pi/4) | -√2/2 |

sec(150) | sec(5pi/6) | -2√3/3 |

sec(180) | sec(pi) | -1 |

sec(210) | sec(7pi/6) | -2√3/3 |

sec(225) | sec(5pi/4) | -√2/2 |

sec(240) | sec(4pi/3) | -2 |

sec(270) | sec(3pi/2) | undefined |

sec(300) | sec(5pi/3) | 2 |

sec(315) | sec(7pi/4) | √2/2 |

sec(330) | sec(11pi/6) | 2√3/3 |

sec(360) | sec(2pi) | 1 |

cot(0) | cot(0) | undefined |

cot(30) | cot(pi/6) | √3 |

cot(45) | cot(pi/4) | 1 |

cot(60) | cot(pi/3) | √3/3 |

cot(90) | cot(pi/2) | 0 |

cot(120) | cot(2pi/3) | -√3/3 |

cot(135) | cot(3pi/4) | -1 |

cot(150) | cot(5pi/6) | -√3 |

cot(180) | cot(pi) | undefined |

cot(210) | cot(7pi/6) | √3 |

cot(225) | cot(5pi/4) | 1 |

cot(240) | cot(4pi/3) | √3/3 |

cot(270) | cot(3pi/2) | 0 |

cot(300) | cot(5pi/3) | -√3/3 |

cot(315) | cot(7pi/4) | -1 |

cot(330) | cot(11pi/6) | -√3 |

cot(360) | cot(2pi) | undefined |

-360 | (blank) | (blank) |