Inverse Sine (Arcsin) Calculator
Calculate the inverse sine (arcsin) of a value. Returns the angle whose sine equals the input.
Angle Rad
0.52359878
सूत्र
## Inverse Sine (Arcsin) ### Definition **arcsin(x) = the angle whose sine is x** If sin(angle) = x, then arcsin(x) = angle. ### Domain and Range - **Domain**: -1 ≤ x ≤ 1 - **Range**: -90° to 90° (-pi/2 to pi/2 radians) ### Common Values - arcsin(0) = 0° - arcsin(0.5) = 30° - arcsin(√2/2) = 45° - arcsin(1) = 90°
हल किया गया उदाहरण
Find arcsin(0.5).
- 01arcsin(0.5) = pi/6 radians
- 02= 30 degrees
- 03Verification: sin(30°) = 0.5
अक्सर पूछे जाने वाले प्रश्न
What is arcsin?
Arcsin (inverse sine) returns the angle whose sine equals the given value. It undoes the sine function.
Why is the range limited to -90° to 90°?
To make arcsin a proper function (single output), its range is restricted to -90° to 90°. Other angles with the same sine can be found using symmetry.
What happens if the input is outside -1 to 1?
Arcsin is only defined for inputs between -1 and 1 in real numbers, since sine never produces values outside this range.
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