Special angles

The angles 0°, 30°, 45°, 60° and 90° have exact trigonometric values, from the half-equilateral and right-isosceles triangles. Learn them as a pattern.

30° 45° 60°Special angles

📐 Formula

sin: 0, 1/2, 1/√2, √3/2, 1; cos is the same list reversed

✏️ Worked example

30°: sin 1/2, cos √3/2, tan 1/√3.

🌍 Where it is used

Exact answers in exams and engineering.

❓ Quick check

cos 60° = ?

🏋️ Practice

Easysin 45° = ?

Answer: 1/√2

Mediumtan 60° = ?

Answer: √3

Challengesin² 30° + cos² 30° = ?

Answer: 1