๐ Quick Reference for Trigonometry Table ๐
Essential Guide for Class 10 & 11 Students | Free Charts & Formulas
๐ฏ Introduction to Trigonometry
Trigonometry is a branch of mathematics that examines relationships between angles and sides in triangles. Derived from Greek words “trigonon” (triangle) and “metron” (measure), itโs essential for Class 10 and 11 students, aiding in fields like physics, architecture, and astronomy. A trigonometry table provides quick reference for standard angle ratios, simplifying calculations.
๐ Standard Angle Ratios
This trigonometry table lists essential ratios for standard angles, ideal for math studies in Class 10 and 11.
| Angle (ฮธ) | sin ฮธ | cos ฮธ | tan ฮธ | csc ฮธ | sec ฮธ | cot ฮธ |
|---|---|---|---|---|---|---|
| 0ยฐ | 0 | 1 | 0 | โ | 1 | โ |
| 30ยฐ | 1/2 | โ3/2 | 1/โ3 | 2 | 2/โ3 | โ3 |
| 45ยฐ | 1/โ2 | 1/โ2 | 1 | โ2 | โ2 | 1 |
| 60ยฐ | โ3/2 | 1/2 | โ3 | 2/โ3 | 2 | 1/โ3 |
| 90ยฐ | 1 | 0 | โ | 1 | โ | 0 |
๐ Essential Trigonometric Formulas
These formulas are vital for solving problems with trigonometric ratios, complementing standard angle charts effectively.
Core Ratios
Reciprocal Ratios
Pythagorean Identities
Angle Sum Formulas
๐ Key Trigonometric Identities
Identities simplify complex trigonometric expressions, enhancing the utility of standard ratio charts for problem-solving.
๐ฏ Must-Know Identities
Complementary Angles:
sin(90ยฐ – ฮธ) = cos ฮธ
cos(90ยฐ – ฮธ) = sin ฮธ
Supplementary Angles:
sin(180ยฐ – ฮธ) = sin ฮธ
cos(180ยฐ – ฮธ) = -cos ฮธ
โ๏ธ Practical Applications of Trigonometry
Trigonometric ratios are used in various fields, making the trigonometry table a valuable tool for real-world applications.
Height & Distance
Measure heights of structures or landscapes.
Wave Analysis
Model patterns in sound or light waves.
Navigation
Applied in GPS and geographic surveying.
๐ Angle Conversion Tool
Degrees โ Radians Converter
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