Unit 15: Trigonometry (त्रिकोणमिति) Formulae & Notes
Introduction
Unit 15: Trigonometry (त्रिकोणमिति) in Class 10 focuses on applying trigonometric ratios to find the area of triangles without knowing the height directly. It utilizes the Sine rule for area calculation.
1. Area of Triangle (त्रिभुजको क्षेत्रफल)
[Image of triangle with sides and angle]| Condition (अवस्था) | Formula (सूत्र) |
|---|---|
|
Two sides and included angle (दुई भुजा र बीचको कोण) |
$$Area = \frac{1}{2} ab \sin C$$ $$Area = \frac{1}{2} bc \sin A$$ $$Area = \frac{1}{2} ac \sin B$$ |
2. Standard Trigonometric Values (मानहरू)
| Angle ($\theta$) | $0^\circ$ | $30^\circ$ | $45^\circ$ | $60^\circ$ | $90^\circ$ |
|---|---|---|---|---|---|
| $\sin \theta$ | 0 | $\frac{1}{2}$ | $\frac{1}{\sqrt{2}}$ | $\frac{\sqrt{3}}{2}$ | 1 |
| $\cos \theta$ | 1 | $\frac{\sqrt{3}}{2}$ | $\frac{1}{\sqrt{2}}$ | $\frac{1}{2}$ | 0 |
| $\tan \theta$ | 0 | $\frac{1}{\sqrt{3}}$ | 1 | $\sqrt{3}$ | $\infty$ |
Full Chapter PDF Manual
For detailed exercises and examples, access the complete PDF manual below.
Disclaimer: This content is based on the Class 10 Compulsory Mathematics manual by Dr. Simkhada (Readmore Publishers).