lightbulb
Key Concepts
< div id = "study-notes" style = "background: rgba(255,255,255,0.03); padding: 1.5rem; border-radius: 12px; border: 1px solid rgba(255,255,255,0.1); margin-bottom: 2rem; line-height: 1.6;" >
1. Trigonometric Ratios
For a right triangle with angle θ:
- Sine (sin θ): Opposite / Hypotenuse (P/H)
- Cosine (cos θ): Adjacent / Hypotenuse (B/H)
- Tangent (tan θ): Opposite / Adjacent (P/B) = sin θ / cos θ
2. Reciprocal Ratios
- Cosecant (cosec θ): 1 / sin θ = H/P
- Secant (sec θ): 1 / cos θ = H/B
- Cotangent (cot θ): 1 / tan θ = B/P
3. Values for Standard Angles
| Ratio | 0° | 30° | 45° | 60° | 90° |
|---|
| sin | 0 | 1/2 | 1/√2 | √3/2 | 1 |
| cos | 1 | √3/2 | 1/√2 | 1/2 | 0 |
| tan | 0 | 1/√3 | 1 | √3 | ∞ |