Enter any angle in degrees or radians into the calculator to determine the sin 2 theta value.

Sin 2 Theta Calculator

Enter the angle θ to calculate sin(2θ)

Sin 2 Theta Formula

The following formula is used to calculate the value of sin 2 theta: 

Y = \sin(2\theta)
  • Where Y is the value of sin(2θ)
  • Ï´ is the angle

What is sin 2 theta?

Sin 2 theta, written as sin(2θ), is the sine of twice an angle θ (it does not mean 2·sin(θ)).

How to calculate sin 2 theta?

Example Problem:

The following example outlines the steps needed to calculate the sin 2 theta value of an angle.

First, measure or calculate the angle. For this example, the angle is measured as 60 degrees.

Next, convert the angle into radians. Since 1 radian ≈ 57.2958 degrees, 60 / 57.2958 = 1.0472 radians (equivalently, 60 × π/180 = 1.0472 radians).

Finally, calculate sin 2 theta using the formula above (double the angle before taking the sine):

Y = sin(2Ï´)

Y = sin(2 × 1.0472) = sin(2.0944)

Y = 0.8660