Sin(11π/6)
To find the value of sin(11π/6), we need to understand the concept of the unit circle and the trigonometric ratios associated with it
To find the value of sin(11π/6), we need to understand the concept of the unit circle and the trigonometric ratios associated with it.
The unit circle is a circle with radius 1 and its center at the origin of a Cartesian coordinate system. The angles in the unit circle are measured in radians. In this case, we have an angle of 11π/6.
To find the value of sin(11π/6), we locate the angle on the unit circle and identify the y-coordinate of the point where the terminal side intersects the circle.
To begin, we divide the unit circle into 12 equal sections as 11π/6 is equal to 11/6 of the way around the unit circle. Starting from the positive x-axis, we count in a counterclockwise direction until we reach the 11th section.
When we reach the 11th section, we find that the terminal side of the angle intersects the unit circle at a point with coordinates (-√3/2, -1/2). Thus, the y-coordinate is -1/2.
Therefore, sin(11π/6) is equal to -1/2.
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