🔖 অনুপাতের সূত্র
🔸 $\sin \theta = \frac{1}{\text{cosec} \theta}$
🔸 $\text{cosec} \theta = \frac{1}{\sin \theta}$
🔸 $\cos \theta = \frac{1}{\sec \theta}$
🔸 $\sec \theta = \frac{1}{\cos \theta}$
🔸 $\tan \theta = \frac{1}{\cot \theta} = \frac{\sin \theta}{\cos \theta}$
🔸 $\cot \theta = \frac{1}{\tan \theta} = \frac{\cos \theta}{\sin \theta} $
🔖 স্কোয়ারের সূত্র
🔸 1. $\sin^2 \theta + \cos^2 \theta = 1$
🔸 2. $\sin^2 \theta = 1 - \cos^2 \theta$
🔸 3. $\cos^2 \theta = 1 - \sin^2 \theta$
🔸 4. $\sec^2 \theta - \tan^2 \theta = 1$
🔸 5. $\sec^2 \theta = 1 + \tan^2 \theta$
🔸 6. $\tan^2 \theta = \sec^2 \theta - 1$
🔸 7. $\text{cosec}^2 \theta - \cot^2 \theta = 1$
🔸 8. $\text{cosec}^2 \theta = 1 + \cot^2 \theta$
🔸 9. $\cot^2 \theta = \text{cosec}^2 \theta - 1$
🔖 কিছু নিঞ্জা টেকনিক
🔸 1. সাগরে লবণ অতি ➜ $\sin \theta = \frac{\text{লম্ব}}{\text{অতিভূজ}}$
🔸 2. কবরে ভূত অতি ➜ $\cos \theta = \frac{\text{ভূমি}}{\text{অতিভূজ}}$
🔸 3. টেরা লম্বা ভূত ➜ $\tan \theta = \frac{\text{লম্ব}}{\text{ভূমি}}$
🔖 বিভিন্ন কোণের মান
| $0°$ | $30°$ | $45°$ | $60°$ | $90°$ | |
|---|---|---|---|---|---|
| $\sin$ | $0$ | $\frac{1}{2}$ | $\frac{1}{\sqrt{2}}$ | $\frac{\sqrt{3}}{2}$ | $1$ |
| $\cos$ | $1$ | $\frac{\sqrt{3}}{2}$ | $\frac{1}{\sqrt{2}}$ | $\frac{1}{2}$ | $0$ |
| $\tan$ | $0$ | $\frac{1}{\sqrt{3}}$ | $1$ | $\sqrt{3}$ | অসংজ্ঞায়িত |
| $\cot$ | অসংজ্ঞায়িত | $\sqrt{3}$ | $1$ | $\frac{1}{\sqrt{3}}$ | $0$ |
| $\sec$ | $1$ | $\frac{2}{\sqrt{3}}$ | $\sqrt{2}$ | $2$ | অসংজ্ঞায়িত |
| $\text{cosec}$ | অসংজ্ঞায়িত | $2$ | $\sqrt{2}$ | $\frac{2}{\sqrt{3}}$ | $1$ |