## Trigonometry Table Class 10

The Trigonometry Table is useful in science, navigation, and engineering. The invention of the trigonometric table resulted in the creation of the first mechanical computer machines.

### Trigonometry Table 0 to 360

θ | 0° (0 radians) |
30° (π/6) |
45° (π/4) |
60° (π/3) |
90° (π/2) |
180° (π) |
270° (3π/2) |
360° (2π) |
---|---|---|---|---|---|---|---|---|

sin |
0 | 1/2 | 1/√2 | √3/2 | 1 | 0 | -1 | 0 |

cos |
1 | √3/2 | 1/√2 | 1/2 | 0 | -1 | 0 | 1 |

tan |
0 | 1/√3 | 1 | √3 | ∞ | 0 | ∞ | 0 |

csc |
∞ | 2 | √2 | 2/√3 | 1 | ∞ | -1 | ∞ |

sec |
1 | 2/√3 | √2 | 2 | ∞ | -1 | ∞ | 1 |

cot |
∞ | √3 | 1 | 1/√3 | 0 | ∞ | 0 | ∞ |

### How to Learn Trigonometric Table?

The trigonometric table might seem complex at first, but it can be learned easily by only the values of sine for the 8 standard angles. Before generating the table, few formulas must be followed as given below:

- tan x = sin x/cos x
- cosec x = 1/sin x
- sec x = 1/cos x
- cot x = 1/tan x

### Trigonometric Ratios Table

### Trigonometry Table 0-360 Value Formulas

- sin x = cos (90° – x)
- cot x = tan (90° – x)
- sec x = cosec (90° – x)
- cos x = sin (90° – x)
- tan x = cot (90° – x)
- cosec x = sec (90° – x)
- 1/sin x = cosec x
- 1/tan x = cot x
- 1/cos x = sec x