Trigonometrical Ratios of Some Standard Angles
Trigonometrical Ratios of 30°
Trigonometrical ratios with respect to the angle 30° in the right-angled triangle △OPM
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Trigonometrical Ratios of 45°
Trigonometrical ratios with respect to the angle 45° in the right-angled triangle △OPM
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Trigonometrical Ratios of 60°
Trigonometrical ratios with respect to the angle 60° in the right-angled triangle △OPM
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The trigonometrical ratios of the standard angles are shown together in the table below.
Standard Trigonometry Table 0° to 90°
Standard Trigonometrical Ratio Table
| Ratio | 0° | 30° | 45° | 60° | 90° |
|---|---|---|---|---|---|
| sin θ | 0 | 1 | |||
| cos θ | 1 | 0 | |||
| tan θ | 0 | 1 | Undefined | ||
| cosec θ | Undefined | 2 | 1 | ||
| sec θ | 1 | 2 | Undefined | ||
| cot θ | Undefined | 1 | 0 |
Important Points to Remember
👉 sin 30° = cos 60° =
👉 sin 45° = cos 45° =
👉 sin 60° = cos 30° =
👉 tan 45° = cot 45° = 1
👉 tan 90° and sec 90° are undefined because cos 90° = 0.
👉 cot 0° and cosec 0° are undefined because sin 0° = 0.