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 | sin²θ + cos²θ = 1 |
| Rearranged | sin²θ = 1 - cos²θ |
| Rearranged | cos²θ = 1 - sin²θ |
| Note | sin²θ - 1 = -cos²θ (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.
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MATHS