Inverse Trigonometric Functions
Compute the inverse trigonometric functions (arcsin, arccos, arctan, arccot, arcsec, arccsc) for any input value in degrees or radians instantly
inverse trig functions calculator
Inverse trigonometric functions accept the angle as long as the value of a trigonometric function is known. An illustration of this is that the arc of sine (x) of cosine (x) and tan (x) are the angle with sine (x), cosine (x) and angle with sine (x), cosine (x), respectively. These are common functions in mathematics, physics, and engineering in calculations of angles with high precision.
inverse trig calculator online
The trigonometric functions, Inverse trigonometric functions, enable you to compute the angle of a desired trigonometric value. Arcsine (arcsin), arccosine (arccos, sec), and arctangent (arctan) are the most prolific, with arccot (arccot), arcsecant (arcsec, sec arccosecant (arccsc) being their reciprocals. Such functions play a crucial role in geometry, calculus, physics, and engineering to solve equations involving angles.
With the values of sine, cosine, Tangent, and their inverses, you can easily compute the angle in degrees or radians with the help of an inverse trigonometric calculator. The tool supports edge cases, domain constraints, and provides principal values. It is in the best interest of students, teachers, engineers, and scientists who require precise and immediate calculational outcomes in trigonometry, waveforms, or in real-life scenarios.
Work / Installation / Input / Output
Work
- Computes arcsin, arccos, arctan, arccot, arcsec, arccsc.
- Converts between radians and degrees.
- Provides principal angle values.
InstallationNo installation required; works instantly online in any browser.
Input
- Value of trig function (sin, cos, tan, etc.)
- Select the desired inverse function
- Choose degree or radian output
Output
- Angle corresponding to the input value
- Degrees or radians
- Optional visual representation on the unit circle
Testing & Final Adjustments
Check the calculator using such typical inputs as 0, 1, -1, 0.5, -0.5 (arcsin, arccos, sin, and arctan). Check domain restrictions (arcsin and arccos values should be in the range [ -1, 1 ]) Check domain restrictions. Make sure that arcta and arccos are defined on all real numbers. Outputs of checks, both in degrees and radians. Check that arcsec and arccsc do not work outside the interval (|human|>Check that arcsec and arccsc do not work out of the interval (|human|) (|human|) (|human|) (|human|) (|human|) (|human|) (|human|) (|human|) (|human|) (|human|) (|human|) (|human|) (|human|) (|human|) (|human|) (|human|) (|human|) (|human|) (|human| Ensure that undefined values give appropriate error messages. Make sure that there is a recalculation on demand. Round off decimal numbers in a proper manner and check the compatibility with different machines. Add an optional unit circle visualization of the major angles to assist the users in understanding the results.
Frequently Asked Questions - Inverse Trigonometric Functions:
What are inverse trigonometric functions?
Functions that return the angle corresponding to a given trigonometric value.
Which functions are included?
Arcsin, arccos, arctan, arccot, arcsec, arccsc.
What is arcsin(0.5)?
It returns 30° or π/6 radians.
What is arccos(0.5)?
It returns 60° or π/3 radians.
What is arctan(1)?
It returns 45° or π/4 radians.
Are there domain restrictions?
Yes, arcsin and arccos require input between −1 and 1.
Can I get results in radians?
Yes, the calculator supports both degrees and radians.
Who uses inverse trig functions?
Students, engineers, architects, and scientists.
Can I use it online for free?
Yes, it’s completely free and browser-based.
What are practical applications?
Solving triangles, wave analysis, physics, engineering calculations, and calculus.
