Simplify sin(-( square root of 3)/2)

Problem

sin(−√(,3)/2)

Solution

1. Identify the expression as the sine of a constant value.

2. Apply the odd function property of sine, which states that sin(−x)=−sin(x)

3. Rewrite the expression using this property.

sin(−√(,3)/2)=−sin(√(,3)/2)

4. Evaluate the numerical value. Since √(,3)≈1.732 the argument √(,3)/2≈0.866 is a value in radians. There is no standard exact trigonometric identity for sin(√(,3)/2) in terms of radicals or π

5. Conclude that the simplest exact form is the application of the negative angle identity.

Final Answer

sin(−√(,3)/2)=−sin(√(,3)/2)

Want more problems? Check here!