sin 7๐/6
-0.5
To find the value of sin 7๐/6, first we need to understand the unit circle. The unit circle is a circle with a radius of 1 unit, centered at the origin of a coordinate plane.
In order to find sin 7๐/6, we need to identify the reference angle. A reference angle is the acute angle between the terminal side of the angle and the x-axis.
To find the reference angle for 7๐/6, we need to subtract the nearest multiple of 2๐ from 7๐/6. In this case, the nearest multiple of 2๐ is 2๐, which we can subtract from 7๐/6 to get 7๐/6 – 2๐ = 3๐/6.
Since 3๐/6 is simplifiable to ๐/2 or 90 degrees, we know that the reference angle for 7๐/6 is 90 degrees.
Next, we need to determine the quadrant in which 7๐/6 lies. We know that ๐/6 is in the second quadrant, so 7๐/6 is in the fourth quadrant.
In the fourth quadrant, sine is negative. Therefore, sin 7๐/6 is equal to -1/2.
Therefore, sin 7๐/6 = -1/2.
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