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Arctan (inverse tangent, tan⁻¹) returns the angle whose tangent equals the input. Unlike arcsin and arccos, the domain is all real numbers (−∞, +∞).
ସୂତ୍ର
θ = arctan(x) where tan(θ) = x
- x
- input value (tangent) — any real number (−∞, +∞)
- θ
- angle result (degrees or radians)
ଷ୍ଟେପ୍-ଷ୍ଟେପ୍ ଗାଇଡ୍ |
- 1arctan(x) returns θ where tan(θ) = x
- 2Domain: all real numbers
- 3Range: (−90°, 90°) or (−π/2, π/2)
- 4arctan(1) = 45°, arctan(0) = 0°
ସମାଧାନ ହୋଇଥିବା ଉଦାହରଣ
ଇନପୁଟ୍
arctan(1)
ଫଳ
45° or π/4 radians
ଇନପୁଟ୍
arctan(√3)
ଫଳ
60° or π/3 radians
ଇନପୁଟ୍
arctan(−1)
ଫଳ
−45°
ବାରମ୍ବାର ଜିଜ୍ଞାସା
What is the domain and range of arctan?
Domain: all real numbers. Range: (−90°, 90°) or (−π/2, π/2) radians.
Why does arctan have a larger domain than arcsin and arccos?
Tangent is defined for all angles except ±90°, so its inverse also accepts all real values.
What is atan2 and how does it differ from arctan?
atan2(y, x) takes two arguments and returns the angle in the correct quadrant. arctan only uses one value.
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