#### Unit Circle values

## The sixties (60,120,240,300) |
## The thirties (30,150,210,330) |

The angles that form a 60 degree angle to the x axis all have the same values for the x and y coordinates. The origin is at the center of the circle,so moving left from the center will give a positive x coordinate, right a negative x coordinate, up a positive y coordinate and down a negative y coordinate. | The angles that form a 30 degree angle to the x axis all have the same values for the x and y coordinates. The origin is at the center of the circle,so moving left from the center will give a positive x coordinate, right a negative x coordinate, up a positive y coordinate and down a negative y coordinate. |

## The fortyfives (45,135,225,315) |
## The nineties and zeros (0,90,180,270) |

The angles that form a 45 degree angle to the x axis all have the same values for the x and y coordinates. The origin is at the center of the circle,so moving left from the center will give a positive x coordinate, right a negative x coordinate, up a positive y coordinate and down a negative y coordinate. | The angles that form a 0 or 90 degree angle to the x axis have a zero, one or negative one for their coordinates. The origin is at the center of the circle,so moving left from the center will give a x coordinate of -1 and y zero, right a x coordinate of 1 and y zero, up y coordinate of 1 and x 0, and down y coordinate of -1 and x 0. |

#### Trig Values: sine and cosecant, cosine and secant, tangent and cotangent

### Sine and Cosecant

Sine Value: The sine value is the y coordinate on the unit circle.The y coordinate is the second coordinate in the pair. | Cosecant Value: Flip the sine value over. When that puts a square root in the denominator, you need to move the square root to the numerator and leave a copy of the number behind in the denominator. |

### Cosine and Secant

Cosine Value : The cosine value is the x coordinate on the unit circle.The x coordinate is the first coordinate in the pair. | Secant value: Flip the cosine value over. When that puts a square root in the denominator, you need to move the square root to the numerator and leave a copy of the number behind in the denominator. |

### Tangent and cotangent

The tangent value is the y coordinate divided by the x coordinate. If you end up with a stacked fraction, unstack it by mutliplying by the reciprocal. Review divide fractions on fraction page for help with that. | The cotangent value is the x coordinate divided by the y coordinate.If you end up with a stacked fraction, unstack it by mutliplying by the reciprocal. Or, if you have the tangent value, flip it over. |