Simplify sin(1/( square root of 2))

Problem

sin(1/√(,2))

Solution

1. Identify the expression as the sine of a constant value, where the argument is approximately 0.7071 radians.

2. Rationalize the denominator of the argument to see if it matches a common trigonometric value.

1/√(,2)=√(,2)/2

3. Evaluate the expression sin(√(,2)/2) Since √(,2)/2 is not a standard angle (like π/4, the expression cannot be simplified further into a rational number or a simple radical.

4. Conclude that the expression is already in its simplest exact form.

Final Answer

sin(1/√(,2))=sin(√(,2)/2)

Want more problems? Check here!