sin150°
To find the value of sin150°, we need to first know the reference angle for 150°
To find the value of sin150°, we need to first know the reference angle for 150°. The reference angle is the acute angle formed between the terminal side of the angle and the x-axis.
In this case, 150° lies in the second quadrant (between 90° and 180°), and its reference angle can be found by subtracting it from 180°:
Reference angle = 180° – 150° = 30°
Now, since the sine function is positive in the second quadrant, the sine of 150° is the same as the sine of its reference angle, which is sin30°.
The sine of 30° is a well-known value. It can be found using various methods, such as geometry or using a trigonometric table. The sine of 30° is equal to 0.5.
Therefore, sin150° = sin30° = 0.5.
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