Inverse Trigonometry Calculator
Arcsin (sin⁻¹)
Find the angle whose sine is x
Arccos (cos⁻¹)
Find the angle whose cosine is x
Arctan (tan⁻¹)
Find the angle whose tangent is x
Arctan2 (two-argument)
Find angle from coordinates (y, x) in correct quadrant
Formula
arcsin: [-1,1] → [-π/2, π/2] | arccos: [-1,1] → [0, π] | arctan: ℝ → (-π/2, π/2)
Frequently Asked Questions
What is an inverse trig function?
Inverse trig functions find the angle when you know the ratio. sin⁻¹(0.5) = 30° because sin(30°) = 0.5. They are also written as arcsin, arccos, arctan.
Why is the range of arcsin restricted?
Since sin(x) is not one-to-one over all reals, we restrict its domain to [-π/2, π/2] to create an invertible function. This gives arcsin a range of [-90°, 90°]. Similarly, arccos has range [0°, 180°] and arctan has range (-90°, 90°).
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