Arcsine Calculator

Enter a decimal or a simple fraction (e.g., 0.5 or 1/3) to get arcsin in degrees and radians.

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Arcsine Calculator

Looking for a simple and accurate way to calculate the arcsine (sin⁻¹) of a number? Our Arcsine Calculator provides instant results in both degrees and radians, helping you solve trigonometric problems with ease. Whether you’re a student learning inverse trigonometric functions, an engineer solving equations, or a teacher preparing examples, this tool ensures fast, reliable, and error-free results every time.

Understanding Arcsine (sin⁻¹)

Arcsine Definition:
The arcsine function, also written as sin⁻¹(x), is the inverse of the sine function. It allows you to determine the angle when the sine value is known.
θ = arcsin(x)

Domain: −1 ≤ x ≤ 1
Range in radians: [−π/2, π/2]
Range in degrees: [−90°, 90°]

👉 In other words, arcsine tells you the angle (in degrees or radians) that produces a given sine value.

Formula for Arcsine

If sin(θ) = x, then:θ = arcsin(x)
The calculator makes this quick and effortless, whether you input decimals or fractions.

Examples of Arcsine Calculations

Using Decimal Values:

arcsin(0.5) = 30° = 0.523 rad → ✅ Result: 30° (0.523 rad)

arcsin(0.7071) ≈ 45° = 0.785 rad → ✅ Result: 45° (0.785 rad)

arcsin(0.866) ≈ 60° = 1.047 rad → ✅ Result: 60° (1.047 rad)

Using Fraction Values:

arcsin(1/2) = 30° = 0.523 rad → ✅ Result: 30° (0.523 rad)

arcsin(2/2) = 90° = 1.570 rad → ✅ Result: 90° (1.570 rad)

arcsin(3/4) ≈ 48.59° = 0.848 rad → ✅ Result: 48.59° (0.848 rad)

Features of Our Arcsine Calculator

✅ Calculates arcsine values instantly in both degrees and radians

✅ Handles decimal values and fractions with accuracy

✅ Works smoothly on mobile, desktop, and tablets

✅ Clean and user-friendly interface

✅ Free to use — no registration required

✅ Perfect for students, teachers, engineers, and professionals

Who Should Use This Calculator?

Students & Teachers – For practicing inverse trigonometry problems

Engineers & Architects – To solve technical calculations involving arcsine

Scientists & Researchers – For modeling oscillations, wave equations, and physics problems

Programmers & Developers – To handle trigonometric functions in coding projects

Everyday Learners – To understand the relationship between sine and arcsine clearly

Why Use an Online Calculator Instead of Manual Calculation?

While arcsine values can be found using tables or manual trigonometry, it’s often tedious and error-prone—especially with decimals and square-root fractions. One small mistake in sine values can lead to incorrect angle results.
Our Arcsine Calculator eliminates this risk by providing instant, accurate, and hassle-free results, saving you time and effort.

Practical Applications of Arcsine

Trigonometry & Geometry – Finding missing angles when side ratios are known

Physics – Modeling wave motion, sound, and oscillations

Engineering & Construction – Calculating inclines, slopes, and structural angles

Navigation – Determining angles from trigonometric ratios

Education – Helping students master inverse trigonometric concepts

✅ The Arcsine Calculator is an essential tool for anyone working with trigonometry, geometry, or applied mathematics. Whether you’re a student, teacher, engineer, or researcher, this calculator provides fast, precise, and simple arcsine calculations for both decimal and fraction inputs.

👉 Try our Arcsine Calculator today on Hive Calculator and make your trigonometric calculations easier, smarter, and error-free!