Trigonometry

Inverse Sine (Arcsine) - Trigonometry

Learn the inverse sine (arcsine) with examples, step-by-step guide, and calculator tools. Find angle from sine value

The inverse sine (arcsine) is a fundamental concept in trigonometry. Find angle from sine value. This page provides a comprehensive guide with worked examples and practical applications.

The Formula

\[\theta = \arcsin(x) \text{ where } x = \sin(\theta)\]

Variables

θ
Angle
x
Sine value (-1 to 1)

Step-by-Step Guide

  1. 1

    Step 1: Gather your data values

  2. 2

    Step 2: Apply the formula

  3. 3

    Step 3: Perform the calculations

  4. 4

    Step 4: Interpret the result

Examples

Example 1

Example 1: [] → arcsin(0.5) = 30° or π/6 radians

Example 2

Example 2: 30° or π/6

Frequently Asked Questions

What is the inverse sine (arcsine)?

Find angle from sine value

How do I calculate inverse sine (arcsine)?

Use the formula: \theta = \arcsin(x) \text{ where } x = \sin(\theta). Follow the steps provided above.

What tools can help with inverse sine (arcsine)?

We provide online calculators: calculator

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