To find sin(5π/6), note that it corresponds to a 150° angle in the second quadrant where sine is positive. The reference angle is π/6, which has a sine of 1/2, thus sin(5π/6) is also 1/2.
To find the value of sin θ for an angle of 5π/6 radians, we need to consider the unit circle. The angle 5π/6 radians corresponds to 150°, which places it in the second quadrant. In the second quadrant, sine values are positive and cosine values are negative.
By using the reference angle for 5π/6, which is π/6, we can determine the sine value. The sine of π/6 is 1/2. Since we are in the second quadrant, the sine of 5π/6 remains positive. Therefore, sin(5π/6) = 1/2.
In the second quadrant, sine is positive. This is a key trigonometric property to remember.
The reference angle π/6 has a sine value of 1/2. Since we are in the second quadrant, the sine of 5π/6 remains positive.
So, sin(5π/6) = sin(π/6) = 1/2. The sine of 5π/6 is 1/2 because the reference angle π/6 has a sine value of 1/2, and we are in the second quadrant where sine is positive.