Calculate sine, cosine, tangent, reciprocal and inverse trigonometric functions online. Enter custom function values, work with triangle sides, or calculate an angle using X and Y coordinates.
Enter an angle for each function. The calculator will calculate its corresponding trigonometric value.
Enter a custom function value to calculate its inverse angle. For example, enter 0.5 for arcsin(0.5).
Valid input range: -1 to 1
Valid input: x ≤ -1 or x ≥ 1
Valid input range: -1 to 1
Valid input: x ≤ -1 or x ≥ 1
Enter the opposite, adjacent and hypotenuse measurements of a right triangle to calculate all six trigonometric ratios.
Use atan2(y, x) to calculate the angle from two coordinates. Unlike ordinary arctan(y/x), atan2 considers the signs of both coordinates to determine the correct quadrant.
Need to work out a missing angle or side of a right triangle? This trigonometric calculator helps you find values using sine, cosine, tangent, and their inverse functions. Enter the measurements you already know, and the calculator works out the missing values. You can also enter a custom sine or cosine value when you want to calculate an angle directly. It is useful for checking homework, studying trigonometry, or solving everyday geometry problems.
Calculate trigonometric values from the known sides of a right triangle.
Use inverse sine, cosine, or tangent to find an angle from a known ratio.
Find an unknown side when you know an angle and another side of the triangle.
Work with angles in degrees or radians, depending on your calculation.
Trigonometric functions describe the relationships between the angles and sides of a triangle. They are commonly used in mathematics, geometry, engineering, physics, and navigation. The six main functions are sine, cosine, tangent, cosecant, secant, and cotangent.
Inverse trigonometric functions work in the opposite direction. Instead of finding a ratio from an angle, they calculate an angle from a known ratio. For example, arcsin(0.5) returns an angle of 30 degrees when using degree mode.
Degrees and radians are two ways to measure angles. A full circle contains 360 degrees or 2π radians. Choose the unit that matches your calculation or the values you are using.
It calculates the six standard trigonometric functions and their inverse functions using angle values, custom ratios or triangle measurements.
Yes. Enter a custom value in the inverse sine or inverse cosine input to calculate the corresponding angle. For example, arcsin(0.5) equals 30 degrees.
Sine calculates a ratio from an angle, while arcsin calculates an angle from a ratio.
Radians are commonly used in advanced mathematics, calculus and programming. Degrees are often easier for everyday geometry and angle measurements.
Some trigonometric calculations are undefined for certain inputs. For example, cosecant is undefined when sine equals zero, and arcsin requires an input between -1 and 1.