Arcsin Calculator — Inverse Sine
Find the angle whose sine equals a given value. Enter any number x between −1 and 1 and get arcsin(x) in degrees and radians, plus the complementary arccos(x).
Principal value in the range [−90°, 90°]
- 1
Apply inverse sine
arcsin(0.5) = 0.523599 radReturns the principal value in [−π/2, π/2] radians. - 2
Convert radians to degrees
0.523599 × (180 ÷ π) = 30
यह कैलकुलेटर कैसे काम करता है?
arcsin(x) is the inverse sine: it returns the angle θ in [−90°, 90°] whose sine equals x. Enter a value between −1 and 1 to get the result in both degrees and radians, along with the complementary arccos(x) = 90° − arcsin(x).
सूत्र
How this is calculated
The arcsine function is the inverse of the sine function. Given a value x in the interval [−1, 1], arcsin(x) returns the unique angle θ in [−π/2, π/2] (i.e. [−90°, 90°]) such that sin(θ) = x. This restricted range is the principal value branch, chosen to make the inverse single-valued — sine itself repeats every 360°, so without restricting the range there would be infinitely many answers.
To convert between radians and degrees, multiply radians by 180/π. The complementary angle arccos(x) satisfies arcsin(x) + arccos(x) = 90° (π/2 radians) for every x in [−1, 1], because in a right triangle the two non-right angles sum to 90°.
The calculator uses the built-in Math.asin() function, which implements the IEEE 754 inverse-sine. Inputs outside [−1, 1] have no real solution and return an error.
अक्सर पूछे जाने वाले प्रश्न
The principal value of arcsin is restricted to [−90°, 90°] (or [−π/2, π/2] in radians). This is the smallest interval over which the inverse is unique.
Multiply the radian result by 180/π ≈ 57.2958. For example, arcsin(0.5) = π/6 rad ≈ 0.5236 rad × 57.2958 = 30°.
arcsin(x) gives the angle with that sine value (range −90° to 90°), while arccos(x) gives the angle with that cosine value (range 0° to 180°). They are complementary: arcsin(x) + arccos(x) = 90° for all x in [−1, 1].
इस नाम से भी जाना जाता है
TG we-Calculate Editorial Team. (2026). Arcsin Calculator — Inverse Sine [Online calculator]. TG we-Calculate. https://we-calculate.com/hi/calculator/arcsin-calculator
TG we-Calculate Editorial Team. "Arcsin Calculator — Inverse Sine." TG we-Calculate. 2026. https://we-calculate.com/hi/calculator/arcsin-calculator.
TG we-Calculate Editorial Team, "Arcsin Calculator — Inverse Sine," TG we-Calculate, 2026. [Online]. Available: https://we-calculate.com/hi/calculator/arcsin-calculator
@misc{wecalculate_arcsin_calculator, title = {Arcsin Calculator — Inverse Sine}, author = {{TG we-Calculate Editorial Team}}, howpublished = {\url{https://we-calculate.com/hi/calculator/arcsin-calculator}}, year = {2026}, note = {TG we-Calculate} }
क्या इस कैलकुलेटर ने आपकी मदद की?