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Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles. The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies.
Trigonometry is primarily concerned with:
The trigonometric functions are periodic and repeat their values in regular intervals, making them useful for modeling cyclical phenomena like sound waves, light waves, and seasonal patterns.
Our trigonometry calculator is designed to be intuitive and powerful. Follow these steps to get the most out of it:
The calculator automatically handles conversions between degrees and radians, and provides results with high precision. For triangle calculations, it uses the Law of Sines and Law of Cosines to determine unknown values.
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Degrees and radians are two different units for measuring angles. A full circle is 360 degrees or 2π radians. Degrees divide a circle into 360 equal parts, while radians are based on the radius of the circle. One radian is the angle created when the arc length equals the radius.
For angles greater than 90 degrees, trigonometric functions can be calculated using reference angles and the unit circle. Our calculator automatically handles these conversions and provides accurate results for any angle value.
The reciprocal trigonometric functions are:
These functions are useful in various mathematical and engineering applications.
Yes! Our calculator can solve triangles when you provide sufficient information. For right triangles, you need any two sides or one side and one acute angle. For oblique triangles, you typically need three pieces of information including at least one side.
Our calculator uses JavaScript's built-in Math library which provides high precision trigonometric functions. The results are accurate to at least 15 decimal places, which is sufficient for most academic, engineering, and scientific applications.
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