Sin(90°) = 1
Sine — the y-coordinate of the corresponding unit-circle point, or opposite/hypotenuse in a right triangle.
How to derive sin(90°)
At 90° the terminal side points up the positive y-axis. The unit-circle point is (0, 1), and sine is the y-coordinate, so sin(90°) = 1 — the maximum value sine ever takes.
Unit-circle context
The angle 90° corresponds to π/2 radians and sits on an axis on the unit circle.
Other trig values at 90°
Related sin values
Frequently asked
- What is the exact value of sin(90°)?
- The exact value is 1. Its decimal approximation is 1.
- How do you derive sin(90°)?
- At 90° the terminal side points up the positive y-axis. The unit-circle point is (0, 1), and sine is the y-coordinate, so sin(90°) = 1 — the maximum value sine ever takes.
- What is 90° in radians?
- 90° equals π/2 radians (multiply degrees by π/180).
Need to solve any sin problem step by step?
Open the AI Trigonometry Solver — type or upload any problem, get step-by-step explanations free.