Sin(75°) = (√6 + √2)/4
Sine — the y-coordinate of the corresponding unit-circle point, or opposite/hypotenuse in a right triangle.
How to derive sin(75°)
Sum formula: sin(45° + 30°) = sin45°cos30° + cos45°sin30° = (√2/2)(√3/2) + (√2/2)(1/2) = (√6 + √2)/4.
Unit-circle context
The angle 75° corresponds to 5π/12 radians and sits Quadrant I on the unit circle.
Other trig values at 75°
Related sin values
Frequently asked
- What is the exact value of sin(75°)?
- The exact value is (√6 + √2)/4. Its decimal approximation is 0.96593.
- How do you derive sin(75°)?
- Sum formula: sin(45° + 30°) = sin45°cos30° + cos45°sin30° = (√2/2)(√3/2) + (√2/2)(1/2) = (√6 + √2)/4.
- What is 75° in radians?
- 75° equals 5π/12 radians (multiply degrees by π/180).
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