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

Math
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 .
Simplify the denominator.
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One to any power is one.
Apply the product rule to .
Raise to the power of .
Multiply by .
Rewrite as .
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Rewrite as .
Apply the power rule and multiply exponents, .
Combine and .
Cancel the common factor of .
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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))

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