Cosine Formula:
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The cosine ratio is a fundamental trigonometric function that relates the adjacent side to the hypotenuse in a right-angled triangle. It provides the cosine of an angle in the triangle.
The calculator uses the cosine formula:
Where:
Explanation: The cosine ratio calculates the ratio between the adjacent side and hypotenuse in a right triangle, giving the cosine value of the angle.
Details: Cosine calculations are essential in trigonometry, geometry, physics, engineering, and many practical applications involving angles and triangles.
Tips: Enter the adjacent side length and hypotenuse length in consistent units. Both values must be positive, and hypotenuse must be equal to or greater than adjacent side.
Q1: What is the range of cosine values?
A: Cosine values range from -1 to 1, but in right triangles (acute angles), the range is 0 to 1.
Q2: When is cosine ratio used?
A: Cosine is used in navigation, engineering, physics, computer graphics, and any field dealing with angles and triangles.
Q3: What's the difference between cosine and sine?
A: Cosine = adjacent/hypotenuse, while sine = opposite/hypotenuse. They represent different trigonometric relationships.
Q4: Can cosine be greater than 1?
A: In a right triangle, cosine cannot be greater than 1 since hypotenuse is always the longest side.
Q5: How accurate is this calculator?
A: The calculator provides precise results based on the input values, with results rounded to 4 decimal places.