# Trigonometry Calculator

The trigonometric functions have been defined using the unit circle.

The sin(θ) is the vertical component , the cos(θ) is the horizontal coordinate of the arc endpoint.

**where **

**Sin(q) = Opposite / Hypotenuse**

**Cos(q) = Adjacent / Hypotenuse**

**Tan(q) = Opposite / Adjacent
**

**The table for basic trigonometric numbers of the most common angles as follows:**

Angle | sin | cos | tan | cot | sec | cosec |

0^{o} |
0 | 1 | 0 | Not define | 1 | Not define |

30^{o} |
^{1}/_{2} |
^{√3}/_{2} |
^{1}/_{√3} |
√3 | ^{2}/_{√3} |
2 |

45^{o} |
^{1}/_{√2} |
^{1}/_{√2} |
1 | 1 | √2 | √2 |

60^{o} |
^{√3}/_{2} |
^{1}/_{2} |
√3 | ^{1}/_{√3} |
2 | ^{2}/_{√3} |

90^{o} |
1 | 0 | Not define | 0 | Not define | 1 |

### Difference between radian (RED) and degrees (DEG)

A radian is equal to 180 degrees because a whole circle is 360 degrees and is equal to two pi radians. A radian is not as widely used in the measurement of circles and angles as a degree because it involves the knowledge of higher mathematics and includes tangents, sine, and cosines. A sin(θ) is the vertical component and cos(θ) is the horizontal coordinate of the arc endpoint.