Master sine, cosine, tangent, and trigonometric identities with solved examples.
Trigonometry studies the relationships between the sides and angles of triangles. It is fundamental to physics, engineering, astronomy, and navigation. The three primary ratios — sine, cosine, and tangent — form the basis of trigonometric calculations.
| Angle | sin | cos | tan |
|---|---|---|---|
| 0° | 0 | 1 | 0 |
| 30° | 1/2 | √3/2 | 1/√3 |
| 45° | √2/2 | √2/2 | 1 |
| 60° | √3/2 | 1/2 | √3 |
| 90° | 1 | 0 | ∞ |
Answer: 1/2 or 0.5
Answer: 1/2 or 0.5
Answer: 1
Answer: 1
Answer: √3/2 ≈ 0.866
Answer: √3/2 ≈ 0.866
Answer: 1/√3 ≈ 0.577
Answer: √3 ≈ 1.732
Answer: 1/√2 ≈ 0.707
Answer: 1/√2 ≈ 0.707
Answer: 1
Answer: 0
Answer: 0
Answer: 1
Answer: 0
Answer: Undefined
Answer: 1
Answer: 2
Answer: 2