Simplify 3-6sin(pi/3)

Problem

3−6*sin(π/3)

Solution

1. Identify the exact value of the trigonometric function sin(π/3) using the unit circle or special triangles.

sin(π/3)=√(,3)/2

2. Substitute the value back into the original expression.

3−6*(√(,3)/2)

3. Multiply the constant and the fraction to simplify the term.

6*(√(,3)/2)=3√(,3)

4. Combine the terms to reach the final simplified form.

3−3√(,3)

Final Answer

3−6*sin(π/3)=3−3√(,3)

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