Trigonometry table · त्रिकोणमिति सारणी
sin 30° = 1/2 — learn the table with a trick, then practise.
Trigonometry table games
Trigonometry table (0°, 30°, 45°, 60°, 90°)
| θ | 0° | 30° | 45° | 60° | 90° |
|---|---|---|---|---|---|
| sin θ | 0 | 1/2 | 1/√2 | √3/2 | 1 |
| cos θ | 1 | √3/2 | 1/√2 | 1/2 | 0 |
| tan θ | 0 | 1/√3 | 1 | √3 | not defined |
| cosec θ | not defined | 2 | √2 | 2/√3 | 1 |
| sec θ | 1 | 2/√3 | √2 | 2 | not defined |
| cot θ | not defined | √3 | 1 | 1/√3 | 0 |
How to remember it
- sin: write 0, 1, 2, 3, 4 → divide by 4 → take the square root: √(0/4)=0, √(1/4)=1/2, √(2/4)=1/√2, √(3/4)=√3/2, √(4/4)=1.
- cos is sin backwards (90° → 0°). tan = sin ÷ cos.
- cosec = 1/sin, sec = 1/cos, cot = 1/tan. “Not defined” means dividing by 0.
- Identities: sin²θ + cos²θ = 1 · 1 + tan²θ = sec²θ · 1 + cot²θ = cosec²θ.
For Class 10 (NCERT Chapter 8). Every value in the table is checked by a program against the computer's own sin, cos and tan.
A one-page chart to stick on the wall, and a worksheet to practise.
Trigonometry table
| θ | 0° | 30° | 45° | 60° | 90° |
|---|---|---|---|---|---|
| sin θ | 0 | 1/2 | 1/√2 | √3/2 | 1 |
| cos θ | 1 | √3/2 | 1/√2 | 1/2 | 0 |
| tan θ | 0 | 1/√3 | 1 | √3 | not defined |
| cosec θ | not defined | 2 | √2 | 2/√3 | 1 |
| sec θ | 1 | 2/√3 | √2 | 2 | not defined |
| cot θ | not defined | √3 | 1 | 1/√3 | 0 |
sin²θ + cos²θ = 1 · 1 + tan²θ = sec²θ · 1 + cot²θ = cosec²θ · tan θ = sin θ / cos θ
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Trigonometry — worksheet
Name: ____________________ Class: ______ Date: __________
1. Fill the table for sin, cos and tan of 0°, 30°, 45°, 60°, 90° from memory.
2. Find: sin 60° cos 30° + sin 30° cos 60° = ______
3. Find: 2 tan² 45° + cos² 30° − sin² 60° = ______
4. If tan A = 1/√3, find A. ______
5. Prove: (1 + tan² 30°) = sec² 30°
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