To find the value of sin(theta) when theta = (3π)/4, we can use the unit circle or trigonometric identities.
In the unit circle, we can determine the value of sin(theta) by locating the corresponding angle on the circle and finding the y-coordinate of the point where the angle intersects the unit circle.
For theta = (3π)/4, the angle is in the third quadrant. In the third quadrant, the sine function is negative. The reference angle for (3π)/4 is π/4 (45 degrees).
Since sin(π/4) = 1/√2, and the sine function is negative in the third quadrant, we have:
sin((3π)/4) = -1/√2.
Therefore, sin(theta) = -1/√2 when theta = (3π)/4.