Draw a triangle in the plane with vertices , , and the origin. Then is the angle between the positive x-axis and the ray beginning at the origin and passing through . Therefore, is .

One to any power is one.

Apply the product rule to .

Raise to the power of .

Multiply by .

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.

Add and .

Rewrite as .

Pull terms out from under the radical, assuming positive real numbers.

Move the negative in front of the fraction.

The result can be shown in multiple forms.

Exact Form:

Decimal Form:

Find the Exact Value sin(arctan(- square root of 3))