Understanding the Double-Angle Identity for Sine: Simplifying sin(2x) using the double-angle identity

sin(2x)=

The expression sin(2x) represents the sine of two times angle x

The expression sin(2x) represents the sine of two times angle x. To find an exact value for sin(2x), we can use the double-angle identity for sine.

The double-angle identity for sine states that sin(2θ) = 2sin(θ)cos(θ). Applying this to our expression, we have:

sin(2x) = 2sin(x)cos(x)

Thus, sin(2x) is equal to 2 times the product of sin(x) and cos(x).

It’s important to note that without any specific value or range for angle x, we cannot simplify this expression any further or provide an exact numerical value for sin(2x).

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