Sin(270°) = -1
Sine — the y-coordinate of the corresponding unit-circle point, or opposite/hypotenuse in a right triangle.
How to derive sin(270°)
At 270° the terminal side points down the negative y-axis. The unit-circle point is (0, −1), so sin(270°) = y = −1 — the minimum value sine ever takes.
Unit-circle context
The angle 270° corresponds to 3π/2 radians and sits on an axis on the unit circle.
Its reference angle is 90°, which is why sin(270°) shares its absolute value with sin(90°).
Other trig values at 270°
Related sin values
Frequently asked
- What is the exact value of sin(270°)?
- The exact value is -1. Its decimal approximation is -1.
- How do you derive sin(270°)?
- At 270° the terminal side points down the negative y-axis. The unit-circle point is (0, −1), so sin(270°) = y = −1 — the minimum value sine ever takes.
- What is 270° in radians?
- 270° equals 3π/2 radians (multiply degrees by π/180).
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