Calculate Sine and Inverse Sine
Calculate the sine (sin) and inverse sine (arcsin) of a value with detailed step-by-step explanations.
Calculator
Result:
Degrees (°)
Radians (rad)
Related Calculator
Tangent & Inverse Tangent CalculatorHow It Works: A User Guide
- Select Mode: Use the dropdown menu to choose between "Sine (sin)" and "Inverse Sine (arcsin)".
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Enter Your Value: In the input box, enter the value you want to calculate.
- For Sine mode, enter an angle (e.g., 90).
- For Inverse Sine mode, enter a value between -1 and 1 (e.g., 0.5).
- Choose Units: For Sine mode, select whether your input is in Degrees or Radians. This dropdown is not used for Inverse Sine mode.
- Calculate: Click the "Calculate" button. The results will appear below in both Degrees and Radians, along with a step-by-step explanation.
- Reset: Click "Reset" to clear all fields and start a new calculation.
Formulas
Sine Function: The sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse in a right-angled triangle.
sin(θ) = Opposite / Hypotenuse
Inverse Sine (Arcsine): The inverse sine of a ratio finds the angle whose sine is that ratio.
arcsin(x) = θ
Frequently Asked Questions (FAQs)
What is the range for Inverse Sine?
The range of the inverse sine function is typically from -90° to 90° or from -π/2 to π/2 radians. This is why you should only enter values between -1 and 1.
Why are both degrees and radians shown?
In mathematics and physics, angles can be measured in both degrees and radians. This calculator shows both so you can use the result in the context you need.
Can I calculate sin(180°)?
Yes, you can. The value of sin(180°) is 0. You can enter 180 in the Sine mode and see the result.