Combine and .

Apply the sine half–angle identity.

Rewrite as .

Multiply by .

Multiply and .

Raise to the power of .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Rewrite as .

Rewrite as .

Apply the power rule and multiply exponents, .

Combine and .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Evaluate the exponent.

Combine using the product rule for radicals.

Reorder factors in .

Expand sin(1/2x)