Sin(3π/2)
The value of sin(3π/2) is -1
The value of sin(3π/2) is -1.
To understand why, we need to visualize the unit circle. The unit circle is a circle with a radius of 1 centered at the origin of a coordinate plane. It is used to understand the values of trigonometric functions.
In trigonometry, angles are measured in radians rather than degrees. We represent angles on the unit circle by measuring the angle counterclockwise from the positive x-axis.
To find the sin(3π/2), we need to go counterclockwise from the positive x-axis by an angle of 3π/2.
Starting from the positive x-axis and going counterclockwise, we have:
0 radians -> π/2 radians -> π radians -> 3π/2 radians
At 3π/2 radians (270 degrees), we are in the downward direction, pointing towards the negative y-axis. At this point, the y-coordinate on the unit circle is -1, which corresponds to the value of sin(3π/2).
Therefore, the value of sin(3π/2) is -1.
More Answers:
[next_post_link]