Simplify the expression by using a Double-Angle Formula or a Half-Angle Formula.

�ã((1-cos50)/2)

sin 25 = sqrt [(1-cos 50)/2]

thank you so much!!!!

To simplify the expression, let's first focus on the numerator, which is (1 - cos 50).

To simplify this expression, we can use the half-angle formula for cosine:

cos²(θ/2) = (1 + cosθ) / 2

We can rearrange this formula to solve for (1 - cosθ):

1 - cosθ = 2cos²(θ/2) - 1

Now let's substitute θ = 50 into the formula:

1 - cos 50 = 2cos²(50/2) - 1

Since 50/2 = 25, we can simplify further:

1 - cos 50 = 2cos²25 - 1

Finally, let's substitute this simplified expression back into the original expression:

(1 - cos 50) / 2 = (2cos²25 - 1) / 2

Therefore, the simplified expression using the half-angle formula is:

(2cos²25 - 1) / 2