Calculate the sine of an angle in degrees or radians with exact values for common angles like 30, 45, and 60 degrees.
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Result
sin(0°)
Also in Functions
Trigonometry
The sine calculator computes the sine of any angle entered in degrees or radians. For common angles like 0°, 30°, 45°, 60°, and 90°, the exact symbolic value is shown alongside the decimal result.
The sine of an angle in a right triangle is the ratio of the side opposite the angle to the hypotenuse. In the unit circle, sin(θ) is the y-coordinate of the point at angle θ from the positive x-axis.
Sine values range from -1 to 1 and the function is periodic with period 360° (2pi radians).
Common exact values: sin(0°) = 0, sin(30°) = 1/2, sin(45°) = root2/2, sin(60°) = root3/2, sin(90°) = 1. These come from the 30-60-90 and 45-45-90 special right triangles.
Frequently asked questions
1. The sine of 90 degrees is exactly 1, the maximum value of the sine function.
The function is the same, but the input units differ. sin(90°) = sin(pi/2 radians) = 1. Always check which unit your calculator or programming language expects.
Related
These related calculators come from the same leaf category, nearby sibling categories, or the same top-level topic.
Calculate the cosine of an angle in degrees or radians with exact values for common angles.
Calculate the arcsine (inverse sine) of a value and return the angle in degrees and radians with exact fractions of pi.
Calculate the arccosine (inverse cosine) of a value and return the angle in degrees and radians with exact fractions of pi.
Calculate the arctangent (inverse tangent) of any real number and return the angle in degrees and radians.
