![]() Moreover, the radius vector forms an angle with the positive x-axis, and the radius vector’s endpoint coordinates are (x, y). ![]() However, the hypotenuse of a right triangle is represented by the circle’s radius. Consider a right triangle in the cartesian coordinate plane, which is centred on a unit circle. To understand trigonometric functions, apply the Pythagoras theorem in a unit circle. Similarly, you can use the calculator to find the sine, cosine, and tangent values for:Īngle of unit circle = 30° Unit Circle Calculator Trigonometric FunctionsĪ unit circle can be used to calculate the trigonometric functions of sine, cosine, and tangent. Lets see an example to understand briefly.įind the trigonometric values if the angle of the unit circle is 45°? We can calculate trigonometric values for any angle using the image. Using a unit circle, we calculate the trigonometric functions sine, cosine, and tangent. If the centre of the unit circle is at (0, 0) and the radius is 1, then the equation for the unit circle is: (x – x1)² + (y – y1)² = r², Where (x, y) are the coordinates of any point lying on the unit circle. The generic equation for a circle with a radius of r and a centre of (x1, y1) is as follows: However, the above equation satisfies all the points lying on the circle across the four quadrants. The centre of the unit circle is (0,0), and the radius is 1 unit. ![]() However, the equation of a unit circle is obtained by simplifying this. As a result, the unit circle’s equation is (x – 0)² + (y – 0)² = 12. With its centre at (0, 0), the origin of the coordinate axes, and a radius of 1 unit, a unit circle is constructed. This circle equation is simplified to illustrate a unit circle equation. Unit Circle Calculator FormulaĪ circle’s general equation is (x – a)² + (y – b)² = r², which depicts a circle with the centre (a, b) and radius r. Then, step 3: To clear the fields and input alternative values, click the “Reset” button. Then, step 2: To determine the sine, cosine, and tangent values, click the “Calculate” button. Step 1: Fill in the input boxes with the angle of the unit circle. To find the sine, cosine, and tangent values, please follow the instructions below: However, the online Unit Circle Calculator from Cuemath allows you to quickly compute the sine, cosine, and tangent values. It aids in the computation of sine, cosine, and tangent values. A unit circle, also known as a trigonometry circle, is a circle with a radius of one unit. If the angle of the unit circle is input, the unit circle calculator computes the radians, sine value, cosine value, and tangent value.
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