To calculate the value of Sin 2θ (Y):
\[ Y = \sin(2 \theta) \]
Where:
Sin 2 theta is a mathematical operation that calculates the value of 2 times the sine of an angle denoted theta.
Let's assume the following value:
Using the formula:
\[ Y = \sin(2 \times 30^\circ) = \sin(60^\circ) \approx 0.8660 \]
The value of Sin 2θ is approximately 0.8660.
Let's assume the following value:
Using the formula:
\[ Y = \sin(2 \times 45^\circ) = \sin(90^\circ) = 1 \]
The value of Sin 2θ is 1.