sin(60°) = 0.866
The sine of 60 degrees is 0.866.
The sine function (sin) is one of the fundamental trigonometric functions that relates an angle to the ratio of two sides in a right triangle. This calculator computes the sine of any angle in degrees, providing instant and accurate results for mathematical, scientific, and engineering applications.
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Mathematical Explanation
The sine function is defined as sin(θ) = opposite/hypotenuse in a right triangle. For a unit circle, sine represents the y-coordinate of a point on the circle at a given angle from the positive x-axis. The sine function is periodic with period 360° (or 2π radians) and has a range of [-1, 1].
Frequently Asked Questions
The sine function (sin) is a trigonometric function that calculates the ratio of the opposite side to the hypotenuse in a right triangle. It's one of the three primary trigonometric functions along with cosine and tangent.
sin(30°) equals 0.5 exactly. This is one of the fundamental trigonometric values that appears frequently in mathematics and engineering.
sin(90°) equals 1, which is the maximum value of the sine function. At 90 degrees, the opposite side equals the hypotenuse in a right triangle.
No, the sine function always produces values between -1 and 1, inclusive. This range comes from the geometric definition using the unit circle.
This calculator uses degrees as input. If you have an angle in radians, multiply it by 180/π to convert to degrees before using this calculator.
Resources & References
Encyclopedia Resources
- Sine - Wikipedia - Comprehensive guide to sine and cosine functions
- Trigonometry - Wikipedia - Learn about trigonometric functions and their applications
Educational Resources
- Khan Academy - Trigonometry - Free trigonometry lessons and practice problems
- Math is Fun - Sine Function - Interactive sine function examples and explanations