Trigonometric Unit Circle Chart
A graphical representation of the unit circle for government exams, showing angles, sin, cos values, and quadrants.
Key Trigonometric Identities
| Identity | Formula |
|---|---|
| Pythagorean | sin²Î¸ + cos²Î¸ = 1 |
| Rearranged | sin²Î¸ = 1 - cos²Î¸ |
| Rearranged | cos²Î¸ = 1 - sin²Î¸ |
| Note | sin²Î¸ - 1 = -cos²Î¸ (corrected from user query) |
Quadrant Signs
| Quadrant | sin θ | cos θ | tan θ |
|---|---|---|---|
| I (0°-90°) | + | + | + |
| II (90°-180°) | + | - | - |
| III (180°-270°) | - | - | + |
| IV (270°-360°) | - | + | - |
Note: The unit circle plots (cos θ, sin θ) for key angles. Use this to visualize trigonometric values and quadrant signs for government exam preparation.
Tags
MATHS