ind the exact value of the following function without a calculator sin((pi )/(4)) sin((pi )/(4))=square (Simplify your answer.including any radicals. Use integers or fractions for any numbers in the expression.)

To find the exact value of , we can use the unit circle and the properties of a 45-45-90 triangle.Step 1: Recall that the angle radians is equivalent to 45 degrees.Step 2: In a 45-45-90 triangle, the lengths of the sides are in the ratio . Step 3: The sine of an angle in a right triangle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse.Step 4: In this case, the side opposite the angle is 1 and the hypotenuse is .Step 5: Therefore, .Step 6: To simplify the expression, we can rationalize the denominator by multiplying the numerator and denominator by .Step 7: .Answer: .